Re: Planetary Orbit help
From: Greg Neill (gneillREM_at_OVE.THIS.netcom.ca)
Date: 02/27/05
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Date: Sun, 27 Feb 2005 11:03:20 -0500
"bgordon555" <bgordon555@gmail.com> wrote in message
news:1109484147.546961.154960@f14g2000cwb.googlegroups.com...
> Hi all,
>
> This group was extremely helpful to me a little while ago and I'm
> hoping you can help me out again!
>
> I'm trying to be able to determine the coordinates of a body, say the
> Earth in the orbital ecliptic of another body, say Mars.
>
> Jean Meeus, is magnificent in providing a formula for the declination
> (D sub E) but not for the Right Ascension. He gives:
>
> sin(D sub E) = -sin(lat North Pole Mars)*sin(lat geocentric Mars) -
> cos(lat North Pole Mars)*cos(lat geo Mars)*cos(long NP Mars - long geo
> Mars)
>
> How do you calculate the Right Ascension of Earth from Mars measured in
> Mars' orbital plane? And, how would you then transform that into
> longitude?
>
> My deep thanks to anyone who can help me with this problem!
>
> Best,
> Bill
>
This would seem to be an exercise in geometry.
How accurate do you need the results to be? You could use Meeus'
methods to find the heliocentric coordinates of Mars and Earth
(Chapter 32 in the second edition), then work out the required
angle from them.
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