Photographs of Io, its diameter and its distance from Jupiter

Silva, W. F. da; Bertuola, A. C.; S. Filho, Victo

doi:10.1590/1806-9126-RBEF-2022-0023

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Sumário

Artigos Gerais • Rev. Bras. Ensino Fís. 44 • 2022 • https://doi.org/10.1590/1806-9126-RBEF-2022-0023 linkcopy

Photographs of Io, its diameter and its distance from Jupiter

Authorship SCIMAGO INSTITUTIONS RANKINGS

Abstract

We performed an analysis of photographs taken from the transit of Jupiter’s moon Io in order to obtain two geometric parameters. Two physical parameters are calculated using time of transit and orbital periods. Combining them with triangulations and cinematic models, the principal results obtained are the experimental values of the Io-Jupiter distance and the diameter of Io. Such values were compared with others adopted in the literature, showing good agreement.

Keywords:
Photograph; Io transit; Io-Jupiter distance; Io diameter

Lua galileana	T_L (dias)
Io	$1,773\pm 0,004$
Europa	$3,537\pm 0,009$
Ganimedes	$7,16\pm 0,02$
Calisto	$16,08\pm 0,08$

Grandezas	Terra	Júpiter
Diâmetro equatorial (km)	12756	142800
Distância máxima do Sol (10⁶ km)	$152,1$	$815,7$
Distância mínima do Sol (10⁶ km)	$147,1$	$740,9$
Distância média do Sol (10⁶ km)	$149,6$	$778,3$
Período de revolução (ano)	1	$11,86$

Lua galileana	d_{L J} (10⁶ km)	D_L (10³ km)
Io	$0,4224 \pm 0,0006$	$3,630$
Europa	$0,669 \pm 0,001$	$3,138$
Ganimedes	$1,071 \pm 0,002$	$5,262$
Calisto	$1,876 \pm 0,006$	$4,800$

$α$	$β$
0,03008	1,0568
0,02797	0,9838
0,03759	1,0673
0,03497	0,9936
0,02302	1,0777
0,02143	1,0727
0,03069	1,0046
0,02857	1,0046

Parâmetro	δ_T	δ_T
Valor	$0,000867$	$0,178$

Grandeza	Valor experimental
d_{L J} (10⁶ km)	$(0,426 \pm 0,015)$
D_L (10³ km)	$(4,20 \pm 0,7)$

Grandeza	Valor	Unidade
G	$(6,67384 \pm 0,0008) x 10^{- 11}$	$\frac{m^{3}}{k g s^{2}}$
M_J	$(1,90 \pm 0,21) x 10^{27}$	kg

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E-mail: rbef@sbfisica.org.br, marcellof@unb.br

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Contato	Horário
I	18:15
IV	20:40