What Are the Inclinations of Planetary Orbits Relative to the Sun's Equator?

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Discussion Overview

The discussion revolves around the inclinations of planetary orbits relative to the plane of the Sun's equator. Participants explore the necessary data and methods to calculate these inclinations, considering the known inclinations with respect to the ecliptic and the ecliptic's inclination to the Sun's equator.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant requests the specific inclinations of planetary orbits with respect to the Sun's equator, noting that existing data is insufficient for precise calculations.
  • Another participant suggests using the JPL Horizons system to find inclinations relative to the ecliptic and then adjusting for the Sun's equatorial inclination, but acknowledges potential complications in the arithmetic.
  • A participant counters that the proposed method does not work due to the lack of a clear criterion for whether to add or subtract the Sun's equatorial inclination from each planetary orbit's inclination.
  • Some participants mention the importance of considering the longitude of the ascending node along with the inclination to establish a complete reference system.
  • There is a suggestion that without more context about the intended application, the best approach remains unclear.

Areas of Agreement / Disagreement

Participants express differing views on the methodology for calculating the inclinations, with no consensus reached on the best approach or the sufficiency of available data.

Contextual Notes

Participants note that orbital inclinations can oscillate over time, which may affect calculations. The discussion highlights the need for a complete reference system when considering inclinations.

Who May Find This Useful

Individuals interested in planetary science, orbital mechanics, or those seeking precise astronomical data may find this discussion relevant.

Leo Klem
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Does anyone know the inclination of each planetary orbit (in degrees) with respect to the plane of the Sun's equator-plane?All planetary inclinations are known with respest to the ecliptic, and the ecliptic's inclination is known with rescpect to the Sun's equator (7.25 degrees). Such data, however, seem to me not sufficient for a precise calculation of the answer I need.
 
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Hi Leo - The authority on these things is the JPL Horizons system.

I'm not sure if you can use the sun's equator, but you'll certainly be able to find the inclination of each planetary orbit with respect to the ecliptic, then do the arithmetic by adding/subtracting the 7.25 deg. (At least it seems that simple at first look . . . )

Note that inclination, like other orbital elements, actually osculates, meaning it changes ever so slightly over time. So look in the osculating elements of your results after you submit your object data. The inclination is given by the quantity "IN", which is in degrees by default.

hth
 
What you suggest doesn't work, as I've already pointed out, when stating that those data are not sufficient; because there is no criterion to chose whether each particular orbit inclination has to be added or subtracted with/from 7.25 degrees.
 
Use the inclination and the longitude of ascending node.
 
D H said:
Use the inclination and the longitude of ascending node.

Yup, that's the answer. You have to specify a complete reference system, and if you throw out the ecliptic as your reference frame, you also throw out Earth's ascending node as the reference zero-degree direction. You can either retain it, or look at each orbit independently in terms of its ascending node, or something more clever.

Without knowing more about what you're trying to do, I'm thinking that's the best we're going to be able to do for you.

I referred you to JPL's horizons because you said you were seeking precision.

You're welcome.
 
Thanks to Spacester and DH. I got the answer.
 

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