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Page 1: PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 … · pluto's tmospherea from stellar tionsocculat in 2012 and 2013 pluto's atmosphere from stellar occultations in 2012 and

PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

PLUTO'S ATMOSPHERE FROM

STELLAR OCCULTATIONS IN 2012 AND

2013

Alex Dias de OliveiraSicardy, B., Lellouch, E., Vieira-Martins, R., Assa�n, M., Camargo, J. I. B.,J. I. B.,

Braga-Ribas, F., Gomes-Júnior, A. R., Benedetti-Rossi, G., Colas, F., Decock, A., Doressoundiram,

A., Dumas, C., Emilio, M., Fabrega Polleri, J., Gil-Hutton, R., Gillon, M., Girard, J., Hau, G. K.

T., Ivanov, V. D., Jehin, E., Lecacheux, J., Leiva, R. Lopez-Sisterna, C., Mancini, L., Manfroid, J.,

Maury, A., Meza, E., Morales, N., Nagy, L., Opitom, C., Ortiz, J. L., Pollock, J., Roques, F.,

Snodgrass, C., Soulier, J.F., Thirouin, A., Vanzi, L., Widemann, T., Reichart, D. E., LaCluyze, A.

P., Haislip, J. B., Ivarsen, K. M., Dominik, M., Jørgensen, U., Skottfelt, J.

3 de setembro de 2015

Page 2: PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 … · pluto's tmospherea from stellar tionsocculat in 2012 and 2013 pluto's atmosphere from stellar occultations in 2012 and

PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Summary

Summary

Introduction

Events (Prediction, Observation and Calibration)

Modeling

General atmospheric structure

Stratosphere

Mesosphere negative temperature gradient

Conclusions

Page 3: PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 … · pluto's tmospherea from stellar tionsocculat in 2012 and 2013 pluto's atmosphere from stellar occultations in 2012 and

PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Introduction

Why study Pluto's atmosphere?

Low incidence of solar radiation - Origin andevolution of the Solar System.

Atmospheric structure - Correct interpretation ofobservational data (spectra).

Appearance and maintenance of atmospheres -Other trans-neptunian objects with size and surfacegravity comparable to those of Pluto within a factor oftwo, exihibited none atmosphere at the 10 nbar pressurelevel.

Page 4: PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 … · pluto's tmospherea from stellar tionsocculat in 2012 and 2013 pluto's atmosphere from stellar occultations in 2012 and

PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Introduction

Why study Pluto's atmosphere?

Low incidence of solar radiation - Origin andevolution of the Solar System.

Atmospheric structure - Correct interpretation ofobservational data (spectra).

Appearance and maintenance of atmospheres -Other trans-neptunian objects with size and surfacegravity comparable to those of Pluto within a factor oftwo, exihibited none atmosphere at the 10 nbar pressurelevel.

Page 5: PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 … · pluto's tmospherea from stellar tionsocculat in 2012 and 2013 pluto's atmosphere from stellar occultations in 2012 and

PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Introduction

Why study Pluto's atmosphere?

Low incidence of solar radiation - Origin andevolution of the Solar System.

Atmospheric structure - Correct interpretation ofobservational data (spectra).

Appearance and maintenance of atmospheres -Other trans-neptunian objects with size and surfacegravity comparable to those of Pluto within a factor oftwo, exihibited none atmosphere at the 10 nbar pressurelevel.

Page 6: PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 … · pluto's tmospherea from stellar tionsocculat in 2012 and 2013 pluto's atmosphere from stellar occultations in 2012 and

PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Introduction

How to study it?

Direct Observation - Spectroscopy. Information aboutthe atmosphere and surface chemichal composition, andsurface temperature.

Indirect Observation - Stellar occultations. Highprecision density, pressure and temperature pro�les.Gravity waves (turbulence). Surface radius andcomposition (Combined with spectroscopy information).

Page 7: PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 … · pluto's tmospherea from stellar tionsocculat in 2012 and 2013 pluto's atmosphere from stellar occultations in 2012 and

PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Introduction

How to study it?

Direct Observation - Spectroscopy. Information aboutthe atmosphere and surface chemichal composition, andsurface temperature.

Indirect Observation - Stellar occultations. Highprecision density, pressure and temperature pro�les.Gravity waves (turbulence). Surface radius andcomposition (Combined with spectroscopy information).

Page 8: PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 … · pluto's tmospherea from stellar tionsocculat in 2012 and 2013 pluto's atmosphere from stellar occultations in 2012 and

PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Introduction

Stellar Occultaions

Consists into analyze the time variation of the star light,while crossing the atmosphere of the occulting object.

As far as ground based observations are concern, it is themost e�ective technique available to study Pluto'satmosphere. It allows an atmospheric probe to nbar levels(Sicardy et al., 2011; Olkin et al., 2014).

Page 9: PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 … · pluto's tmospherea from stellar tionsocculat in 2012 and 2013 pluto's atmosphere from stellar occultations in 2012 and

PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Introduction

Stellar Occultaions

Consists into analyze the time variation of the star light,while crossing the atmosphere of the occulting object.

As far as ground based observations are concern, it is themost e�ective technique available to study Pluto'satmosphere. It allows an atmospheric probe to nbar levels(Sicardy et al., 2011; Olkin et al., 2014).

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Introduction

Stellar Occultations

Responsable for Pluto's atmosphere discovery (Hubbardet al., 1988; Elliot et al., 1989; Brosch, 1995).

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Events

Prediction

Prediction catalog - Assa�n et al. (2010) ObservedPluto's path in the sky plane bewteen 2008 e 2015,performed at ESO's 2,2 m telescope.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Events

Prediction

Predicted events observed at South America with ESO's8.2 m VLT, among others.

July 18, 2012 - R* 14 May 4, 2013 - R* 13,7

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Events

Observation

Event - July 18, 2012.

1.50x104 1.51x104 1.52x104 1.53x1040.0

0.5

1.0

1.5

1.505x104 1.510x104 1.515x104 1.520x104 1.525x104

0.7

0.8

0.9

1.0

1.1

1.510x104 1.515x104 1.520x104 1.525x1040.0

0.2

0.4

0.6

0.8

1.0

1.2

1.510x104 1.515x104 1.520x104 1.525x1040.7

0.8

0.9

1.0

1.1

1.2

1.510x104 1.515x104 1.520x104 1.525x1040.7

0.8

0.9

1.0

1.1

1.2

Flux

o

Segundos a partir de 00h (UTC)

Flux

o

Huancayo

Segundos a partir de 00h (UTC)

São Pedro de Atacama

Flux

o

Segundos a partir de 00h (UTC)

Paranal VLT/ESO Cerro Burek

Flux

o

Segundos a partir de 00h (UTC)

Flux

o

Segundos a partir de 00h (UTC)

Santa Martina

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Events

Observation

Event - May 4, 2013.

3.00x104 3.01x104 3.02x104 3.03x104 3.04x1040.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1

3.00x104 3.02x104 3.04x1040.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1

3.00x104 3.02x104 3.04x104

0.5

0.6

0.7

0.8

0.9

1.0

1.1

3.00x104 3.01x104 3.02x104 3.03x104 3.04x104

0.4

0.5

0.6

0.7

0.8

0.9

1.0

1.1

3.00x104 3.01x104 3.02x104 3.03x104 3.04x104

0.5

0.6

0.7

0.8

0.9

1.0

1.1

3.00x104 3.01x104 3.02x104 3.03x104 3.04x104

0.0

0.2

0.4

0.6

0.8

1.0

Caisey f/6,8

Flux

o

Segundos a partir de 00h (UTC)

Caisey f/8

Cerro Tololo

La Silla

Flux

o

Segundos a partir de 00h (UTC)

São Pedro de Atacama

Flux

o

Segundos a partir de 00h (UTC)

TRAPPIST

Flux

o

Segundos a partir de 00h (UTC)

DANISH

Flux

o

Segundos a partir de 00h (UTC)

PROMPT

Flux

oSegundos a partir de 00h (UTC)

LCGOT

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Events

Calibration

Digital coronography for calibration.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Events

Calibration

Stellar residual �ux varied from 2.3 % to 1.8 % of itsunocculted value.

!"#$%&'#()!(#*+,-#

!"#$%&'$()*+'%,-$.%/0123%4!5%

!)6,7%89:%

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

General Idea

Assuming a layer model, a incident light ray su�erssuccessives refractions, curving in the atmosphere untilemerge.

R a i o d e l u z i n c i d e n t e

R a i o d e l u z d e s v i a d o

r

θ

r0

P l a n e t a

A t m o s f e r a

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

General Idea

r0I(r0)=I0 r0

r

raioincidente

(I0)

I (r0) = η(r) · r · senθ

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

General Model

Total deviation ω(r0) is (Vapillon et al., 1973):

ω(I0) =

∫ ∞r0

2I0η(r)

· dη(r)

dr· dr√

[η(r) · r ]2 − [η(r0) · r0]2(1)

Inverting for η(r0):

η(r0) = exp

1

π

∫ 0

ω(I0)

log

I (ω)

I0+

√(I (ω)

I0

)2

− 1

· dω

(2)

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

General Model

Total deviation ω(r0) is (Vapillon et al., 1973):

ω(I0) =

∫ ∞r0

2I0η(r)

· dη(r)

dr· dr√

[η(r) · r ]2 − [η(r0) · r0]2(1)

Inverting for η(r0):

η(r0) = exp

1

π

∫ 0

ω(I0)

log

I (ω)

I0+

√(I (ω)

I0

)2

− 1

· dω

(2)

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

General Model

I(t)

dIz(t)

dz

(t)

D

Z'

0

I'

For small ω(r0) :

z(t) = I (t) + D · ω(t) (3)

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

General ModelBy energy conservation we can write:

Φ(t)

Φ0=

dI (t)

dz(t)(4)

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

General Model

Φ(t)

Φ0= f · dI (t)

dz(t)where f = I (t)/z(t) (5)

ω(t) =1

D·∫

t

−∞

f · Φ0 − Φ(τ)

f · Φ0· dzdτ

dτ (6)

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Reduction Approaches

Inversion:

From the event data (Φ(t)/Φ0 and z(t)), we calculateI (t) e ω(t).

From general model (Vapillon et al., 1973), we use I (t)and ω(t) to get η(r).

From η(r), we use a atmospheric model (assumptions) todetermine T (r), n(r) e P(r).

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Reduction Approaches

Inversion:

From the event data (Φ(t)/Φ0 and z(t)), we calculateI (t) e ω(t).

From general model (Vapillon et al., 1973), we use I (t)and ω(t) to get η(r).

From η(r), we use a atmospheric model (assumptions) todetermine T (r), n(r) e P(r).

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Reduction Approaches

Inversion:

From the event data (Φ(t)/Φ0 and z(t)), we calculateI (t) e ω(t).

From general model (Vapillon et al., 1973), we use I (t)and ω(t) to get η(r).

From η(r), we use a atmospheric model (assumptions) todetermine T (r), n(r) e P(r).

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

General Idea

Ray Tracing:

From an atmospheric model (T (r), n(r) e P(r)) wecalculate η(r).

Using η(r) and the general model, we have ω(I0) for eachI (t).

From values of I (t) and ω(t) We calculate syntheticvalues for Φ(t)/Φ0 and z(t).

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

General Idea

Ray Tracing:

From an atmospheric model (T (r), n(r) e P(r)) wecalculate η(r).

Using η(r) and the general model, we have ω(I0) for eachI (t).

From values of I (t) and ω(t) We calculate syntheticvalues for Φ(t)/Φ0 and z(t).

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

General Idea

Ray Tracing:

From an atmospheric model (T (r), n(r) e P(r)) wecalculate η(r).

Using η(r) and the general model, we have ω(I0) for eachI (t).

From values of I (t) and ω(t) We calculate syntheticvalues for Φ(t)/Φ0 and z(t).

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Simplifying assumptions

Pluto and its atmosphere are spherically symmetric.

The atmosphere is Transparent (no Haze).

The atmosphere is an ideal gas in hydrostatic equilibrium.

P(r) = k · T (r) · n(r) anddP

dr= −µ · n(r) · g(r) (7)

1

n· dndr

= −[µ · g(r)

k · T+

1

T· dTdr

](8)

where

g(r) = GM

r2

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Simplifying assumptions

Pluto and its atmosphere are spherically symmetric.

The atmosphere is Transparent (no Haze).

The atmosphere is an ideal gas in hydrostatic equilibrium.

P(r) = k · T (r) · n(r) anddP

dr= −µ · n(r) · g(r) (7)

1

n· dndr

= −[µ · g(r)

k · T+

1

T· dTdr

](8)

where

g(r) = GM

r2

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Simplifying assumptions

Pluto and its atmosphere are spherically symmetric.

The atmosphere is Transparent (no Haze).

The atmosphere is an ideal gas in hydrostatic equilibrium.

P(r) = k · T (r) · n(r) anddP

dr= −µ · n(r) · g(r) (7)

1

n· dndr

= −[µ · g(r)

k · T+

1

T· dTdr

](8)

where

g(r) = GM

r2

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Simplifying assumptions

Pluto and its atmosphere are spherically symmetric.

The atmosphere is Transparent (no Haze).

The atmosphere is an ideal gas in hydrostatic equilibrium.

P(r) = k · T (r) · n(r) anddP

dr= −µ · n(r) · g(r) (7)

1

n· dndr

= −[µ · g(r)

k · T+

1

T· dTdr

](8)

where

g(r) = GM

r2

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Simplifying assumptions

Pluto and its atmosphere are spherically symmetric.

The atmosphere is Transparent (no Haze).

The atmosphere is an ideal gas in hydrostatic equilibrium.

P(r) = k · T (r) · n(r) anddP

dr= −µ · n(r) · g(r) (7)

1

n· dndr

= −[µ · g(r)

k · T+

1

T· dTdr

](8)

where

g(r) = GM

r2

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Simplifying assumptions

Pluto and its atmosphere are spherically symmetric.

The atmosphere is Transparent (no Haze).

The atmosphere is an ideal gas in hydrostatic equilibrium.

P(r) = k · T (r) · n(r) anddP

dr= −µ · n(r) · g(r) (7)

1

n· dndr

= −[µ · g(r)

k · T+

1

T· dTdr

](8)

where

g(r) = GM

r2

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Simplifying assumptions

Is a pure molecular nitrogen (N2) atmosphere. Otherminor species, like methane, are neglected. De�ningrefractivity as:

ν(r) = η(r) − 1;

ν(r) = K · n(r)

KN = 1,091 · 10−23 + 6,282·10−26

λ2(cm3/molécula)

T (r) is time-independet, i.e. the temperature pro�les arethe same in 2012 and 2013.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Simplifying assumptions

Is a pure molecular nitrogen (N2) atmosphere. Otherminor species, like methane, are neglected. De�ningrefractivity as:

ν(r) = η(r) − 1;

ν(r) = K · n(r)

KN = 1,091 · 10−23 + 6,282·10−26

λ2(cm3/molécula)

T (r) is time-independet, i.e. the temperature pro�les arethe same in 2012 and 2013.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Simplifying assumptions

Is a pure molecular nitrogen (N2) atmosphere. Otherminor species, like methane, are neglected. De�ningrefractivity as:

ν(r) = η(r) − 1;

ν(r) = K · n(r)

KN = 1,091 · 10−23 + 6,282·10−26

λ2(cm3/molécula)

T (r) is time-independet, i.e. the temperature pro�les arethe same in 2012 and 2013.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Simplifying assumptions

Is a pure molecular nitrogen (N2) atmosphere. Otherminor species, like methane, are neglected. De�ningrefractivity as:

ν(r) = η(r) − 1;

ν(r) = K · n(r)

KN = 1,091 · 10−23 + 6,282·10−26

λ2(cm3/molécula)

T (r) is time-independet, i.e. the temperature pro�les arethe same in 2012 and 2013.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Simplifying assumptions

Is a pure molecular nitrogen (N2) atmosphere. Otherminor species, like methane, are neglected. De�ningrefractivity as:

ν(r) = η(r) − 1;

ν(r) = K · n(r)

KN = 1,091 · 10−23 + 6,282·10−26

λ2(cm3/molécula)

T (r) is time-independet, i.e. the temperature pro�les arethe same in 2012 and 2013.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Iterative Procedure.

Invert our best signal-to-noise ratio light curve to retrievedensity, pressure and temperature pro�les (n(r), P(r),and T (r)).

With a parametrized T (r) we generate, through directray tracing, synthetic occultation light-curves.

They are simultaneously �tted to all the observedlight-curves to pin down the location of Pluto's shadowcenter relative to the occultation chords for both eventsand the vertical position of temperature pro�le.

With new shadow's center coordinates, the inversion ofthe best light-curve is performed again and theprocedures ir resumed.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Iterative Procedure.

Invert our best signal-to-noise ratio light curve to retrievedensity, pressure and temperature pro�les (n(r), P(r),and T (r)).

With a parametrized T (r) we generate, through directray tracing, synthetic occultation light-curves.

They are simultaneously �tted to all the observedlight-curves to pin down the location of Pluto's shadowcenter relative to the occultation chords for both eventsand the vertical position of temperature pro�le.

With new shadow's center coordinates, the inversion ofthe best light-curve is performed again and theprocedures ir resumed.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Iterative Procedure.

Invert our best signal-to-noise ratio light curve to retrievedensity, pressure and temperature pro�les (n(r), P(r),and T (r)).

With a parametrized T (r) we generate, through directray tracing, synthetic occultation light-curves.

They are simultaneously �tted to all the observedlight-curves to pin down the location of Pluto's shadowcenter relative to the occultation chords for both eventsand the vertical position of temperature pro�le.

With new shadow's center coordinates, the inversion ofthe best light-curve is performed again and theprocedures ir resumed.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Iterative Procedure.

Invert our best signal-to-noise ratio light curve to retrievedensity, pressure and temperature pro�les (n(r), P(r),and T (r)).

With a parametrized T (r) we generate, through directray tracing, synthetic occultation light-curves.

They are simultaneously �tted to all the observedlight-curves to pin down the location of Pluto's shadowcenter relative to the occultation chords for both eventsand the vertical position of temperature pro�le.

With new shadow's center coordinates, the inversion ofthe best light-curve is performed again and theprocedures ir resumed.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Iterative Procedure.

Invert our best signal-to-noise ratio light curve to retrievedensity, pressure and temperature pro�les (n(r), P(r),and T (r)).

With a parametrized T (r) we generate, through directray tracing, synthetic occultation light-curves.

They are simultaneously �tted to all the observedlight-curves to pin down the location of Pluto's shadowcenter relative to the occultation chords for both eventsand the vertical position of temperature pro�le.

With new shadow's center coordinates, the inversion ofthe best light-curve is performed again and theprocedures ir resumed.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Combining the data

Inversion of the light curve from VLT/ESO July 18, 2012event, give a temperature pro�le T (r).

From a parametric form of T (r), we do a ray tracing forMay 4, 2013 event, from which we get the inicial position(ri = r1) of the temperature pro�le.

Using the calculated ri we redo the ray tracing for theJuly 18, 2012 event to determine Pi and the shadowscenter coordinates.

We new center coordinates (z(t)) we redo July 18, 2012event inversion to ger a precise temperature pro�le.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Combining the data

Inversion of the light curve from VLT/ESO July 18, 2012event, give a temperature pro�le T (r).

From a parametric form of T (r), we do a ray tracing forMay 4, 2013 event, from which we get the inicial position(ri = r1) of the temperature pro�le.

Using the calculated ri we redo the ray tracing for theJuly 18, 2012 event to determine Pi and the shadowscenter coordinates.

We new center coordinates (z(t)) we redo July 18, 2012event inversion to ger a precise temperature pro�le.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Combining the data

Inversion of the light curve from VLT/ESO July 18, 2012event, give a temperature pro�le T (r).

From a parametric form of T (r), we do a ray tracing forMay 4, 2013 event, from which we get the inicial position(ri = r1) of the temperature pro�le.

Using the calculated ri we redo the ray tracing for theJuly 18, 2012 event to determine Pi and the shadowscenter coordinates.

We new center coordinates (z(t)) we redo July 18, 2012event inversion to ger a precise temperature pro�le.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Modeling

Combining the data

Inversion of the light curve from VLT/ESO July 18, 2012event, give a temperature pro�le T (r).

From a parametric form of T (r), we do a ray tracing forMay 4, 2013 event, from which we get the inicial position(ri = r1) of the temperature pro�le.

Using the calculated ri we redo the ray tracing for theJuly 18, 2012 event to determine Pi and the shadowscenter coordinates.

We new center coordinates (z(t)) we redo July 18, 2012event inversion to ger a precise temperature pro�le.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

General atmospheric structure

Parametrization of T (r)

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

General atmospheric structure

Parametrization of T (r)

T (r) = T1 +dT

dr· (r − r1), r ≤ r2

C1 · r + C2 · T (r) + C3 · r · T (r) + C4 · r2 + C5 · T (r)2 = 1, r2 ≤ r ≤ r4

T (r) = C6 + C7 · r + C8 · r2 + C9 · r3, r4 ≤ r ≤ r5

T (r) = Tiso r ≥ r5

(9)

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

General atmospheric structure

Final Temperature Pro�le

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

General atmospheric structure

Final Temperature Pro�le

VLT/NACO  18  Jul  2012  ingress  

VLT/NACO  18  Jul  2012  egress  

VLT/NACO  04  May  2013  ingress  

VLT/NACO  04  May  2013  egress  

PROMPT  04  May  2013  ingress  

PROMPT  04  May  2013  egress  

TRAPPIST  04  May  2013  ingress  

TRAPPIST  04  May  2013  egress  

template  profile  

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

General atmospheric structure

Fitted Light-curves

04:13 UTSanta Martina Cerro Burek

Paranal

Huancayo

San Pedro de Atacama

18 July 2012

iso.

dof

1.19

dof0.945

dof

2.75

dof1.58

dof

1.17

No

r ma l

i zed

Fl u

x

Time

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

General atmospheric structure

Fitted Light-curves

08:22 UTCerro Burek

La SillaTRAPPIST

Paranal

Pico dos Dias

04 May 2013

Cerro Tololo

SP AtacamaCaisey f/6.8Caisey f/8

dof

0.777 dof

1.15

dof

1.49

dof

1.27

dof

0.668

dof

0.986

dof

0.890

Time

No

rmal

i zed

Fl u

x

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Statosphere

Radius determination

1190±5 km

T (K)

r (k

m)

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Mesosphere negative temperature gradient

Possible cooling by CO or HCN

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Conclusions

Conclusions

Combination of well-sampled occultation chords and highSNR data, have allowed us to constrain the density,temperature and thermal gradient pro�les of Pluto'satmosphere, between radii r ∼ 1,190 km (pressurep ∼ 11 µbar) and r ∼ 1,450 km (pressure p ∼ 0.1 µbar).

We �nd that a unique thermal model, can �t satisfactorilytwelve light-curves observed in 2012 and 2013, assuminga spherically symmetric and clear (no haze) atmoshere.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Conclusions

Conclusions

Combination of well-sampled occultation chords and highSNR data, have allowed us to constrain the density,temperature and thermal gradient pro�les of Pluto'satmosphere, between radii r ∼ 1,190 km (pressurep ∼ 11 µbar) and r ∼ 1,450 km (pressure p ∼ 0.1 µbar).

We �nd that a unique thermal model, can �t satisfactorilytwelve light-curves observed in 2012 and 2013, assuminga spherically symmetric and clear (no haze) atmoshere.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Conclusions

Conclusions

Combination of well-sampled occultation chords and highSNR data, have allowed us to constrain the density,temperature and thermal gradient pro�les of Pluto'satmosphere, between radii r ∼ 1,190 km (pressurep ∼ 11 µbar) and r ∼ 1,450 km (pressure p ∼ 0.1 µbar).

We �nd that a unique thermal model, can �t satisfactorilytwelve light-curves observed in 2012 and 2013, assuminga spherically symmetric and clear (no haze) atmoshere.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Conclusions

ConclusionsThe absolute vertical scale of our global model has aninternal accuracy of about ±1 km. However, this error isampli�ed to ±5 km at the bottom of the pro�les, becauseof the uncertainty on the residual stellar �ux in thecentral part of the occultation observed by NACO on 18July 2012.

In the frame of our model (i.e. assuming a constanttemperature pro�le), we detect a signi�cant 6% pressureincrease (at the 6-σ level), during the ∼9.5 monthsseparating the two events under study. This means thatPluto's atmosphere was still expanding at that time,con�rming the work of Olkin et al. (2015), whichcompiles and analyzes pressure measurements between1988 and 2013.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Conclusions

ConclusionsThe absolute vertical scale of our global model has aninternal accuracy of about ±1 km. However, this error isampli�ed to ±5 km at the bottom of the pro�les, becauseof the uncertainty on the residual stellar �ux in thecentral part of the occultation observed by NACO on 18July 2012.

In the frame of our model (i.e. assuming a constanttemperature pro�le), we detect a signi�cant 6% pressureincrease (at the 6-σ level), during the ∼9.5 monthsseparating the two events under study. This means thatPluto's atmosphere was still expanding at that time,con�rming the work of Olkin et al. (2015), whichcompiles and analyzes pressure measurements between1988 and 2013.

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Conclusions

Conclusions

The extrapolation of our temperature pro�les to thenitrogen saturation line, implies that nitrogen maycondense at a Pluto's radius of RP = 1,190± 5 km.

From a Pluto's mass of MP = 1.304± 0.006× 1022 kg(Tholen et al., 2008), we derive a densityρP = (1.802± 0.007)(RP/1,200 km)−3 g cm−3. Ourestimation thus implies ρP = 1.85± 0.02 g cm−3. This islarger, but not by much, than Charon's density,ρC = 1.63± 0.05 g cm−3.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Conclusions

Conclusions

The extrapolation of our temperature pro�les to thenitrogen saturation line, implies that nitrogen maycondense at a Pluto's radius of RP = 1,190± 5 km.

From a Pluto's mass of MP = 1.304± 0.006× 1022 kg(Tholen et al., 2008), we derive a densityρP = (1.802± 0.007)(RP/1,200 km)−3 g cm−3. Ourestimation thus implies ρP = 1.85± 0.02 g cm−3. This islarger, but not by much, than Charon's density,ρC = 1.63± 0.05 g cm−3.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Conclusions

Conclusions

Above the stratopause, and up to about 1,390 km, ourbest 2012 and 2013 occultation light-curves yield invertedtemperature pro�les with a negative thermal gradientclose to -0.2 K km−1, which amounts to a total decreaseof 30 K for the temperature between 1,215 and 1,390 km

Explaining this negative gradient by CO cooling requires amixing ratio (200× 10−4), that is too high by a factor of40 compared to current measurements (Lellouch et al.,2011). Cooling by HCN is also discussed in this paper. Itappears to be a possible alternative solution, but only if itremains largely supersaturated in the mesosphere.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Conclusions

Conclusions

Above the stratopause, and up to about 1,390 km, ourbest 2012 and 2013 occultation light-curves yield invertedtemperature pro�les with a negative thermal gradientclose to -0.2 K km−1, which amounts to a total decreaseof 30 K for the temperature between 1,215 and 1,390 km

Explaining this negative gradient by CO cooling requires amixing ratio (200× 10−4), that is too high by a factor of40 compared to current measurements (Lellouch et al.,2011). Cooling by HCN is also discussed in this paper. Itappears to be a possible alternative solution, but only if itremains largely supersaturated in the mesosphere.

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Conclusions

Conclusions

The New Horizons �yby data will provide constraints on the

temperature boundary conditions and atmospheric

composition that will be used to discriminate between the

various solutions decribed here.

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Referências

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Brosch, N., 1995. The 1985 stellar occultation by Pluto. Mon.Not. R. Astron. Soc. 276, 571�578.

Elliot, J.L., Dunham, E.W., Bosh, A.S., Slivan, S.M., Young,L.A., Wasserman, L.H., Millis, R.L., 1989. Pluto'satmosphere. Icarus 77, 148�170.

Hubbard, W.B., Hunten, D.M., Dieters, S.W., Hill, K.M.,Watson, R.D., 1988. Occultation evidence for anatmosphere on Pluto. Nature 336, 452�454.

Lellouch, E., Stansberry, J., Emery, J., Grundy, W.,Cruikshank, D.P., 2011. Thermal properties of Pluto's and

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PLUTO'S ATMOSPHERE FROM STELLAR OCCULTATIONS IN 2012 AND 2013

Referências

Charon's surfaces from Spitzer observations. Icarus 214,701�716.

Olkin, C.B., Young, L.A., Borncamp, D., Pickles, A., Sicardy,B., Assa�n, M., Bianco, F.B., Buie, M.W., de Oliveira,A.D., Gillon, M., French, R.G., Ramos Gomes, A., Jehin, E.,Morales, N., Opitom, C., Ortiz, J.L., Maury, A., Norbury,M., Braga-Ribas, F., Smith, R., Wasserman, L.H., Young,E.F., Zacharias, M., Zacharias, N., 2015. Evidence thatPluto's atmosphere does not collapse from occultationsincluding the 2013 May 04 event. Icarus 246, 220�225.

Olkin, C.B., Young, L.A., French, R.G., Young, E.F., Buie,M.W., Howell, R.R., Regester, J., Ruhland, C.R., Natusch,T., Ramm, D.J., 2014. Plutos atmospheric structure fromthe July 2007 stellar occultation. Icarus 239, 15�22.

Sicardy, B., Ortiz, J.L., Assa�n, M., Jehin, E., Maury, A.,Lellouch, E., Hutton, R.G., Braga-Ribas, F., Colas, F.,

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Referências

Hestro�er, D., Lecacheux, J., Roques, F., Santos-Sanz, P.,Widemann, T., Morales, N., Du�ard, R., Thirouin, A.,Castro-Tirado, A.J., Jelínek, M., Kubánek, P., Sota, A.,Sánchez-Ramírez, R., Andrei, A.H., Camargo, J.I.B., daSilva Neto, D.N., Gomes, A.R., Martins, R.V., Gillon, M.,Manfroid, J., Tozzi, G.P., Harlingten, C., Saravia, S.,Behrend, R., Mottola, S., Melendo, E.G., Peris, V.,Fabregat, J., Madiedo, J.M., Cuesta, L., Eibe, M.T., Ullán,A., Organero, F., Pastor, S., de Los Reyes, J.A., Pedraz, S.,Castro, A., de La Cueva, I., Muler, G., Steele, I.A., Cebrián,M., Montañés-Rodríguez, P., Oscoz, A., Weaver, D.,Jacques, C., Corradi, W.J.B., Santos, F.P., Reis, W.,Milone, A., Emilio, M., Gutiérrez, L., Vázquez, R.,Hernández-Toledo, H., 2011. A Pluto-like radius and a highalbedo for the dwarf planet Eris from an occultation. Nature478, 493�496.

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Referências

Tholen, D.J., Buie, M.W., Grundy, W.M., Elliott, G.T., 2008.Masses of Nix and Hydra. AJ, 135, 777.

Vapillon, L., Combes, M., Lecacheux, J., 1973. The betaScorpii occultation by Jupiter. II. The temperature anddensity pro�les of the Jupiter upper atmosphere.. Astron.Astrophys. 29, 135�149.