True longitude

Incelestial mechanics,true longitudeis theecliptic longitudeat which an orbiting body could actually be found if itsinclinationwere zero. Together with the inclination and theascending node,the true longitude can tell us the precise direction from the central object at which the body would be located at a particular time.

Calculation

The true longitude $l$ can be calculated as follows:^[1]^[2]^[3]

l = ν + ϖ

where:

$ν$ is the orbit'strue anomaly,
ϖ≡ω+Ωis thelongitude of orbit's periapsis,
- $ω$ is theargument of periapsis,and
- $Ω$ is thelongitude of the orbit's ascending node,

References

^Multon, F. R. (1970).An Introduction to Celestial Mechanics(2nd ed.). New York, NY: Dover. pp. 182–183.
^Roy, A. E. (1978).Orbital Motion.New York, NY:John Wiley & Sons.p. 174.ISBN 0-470-99251-4.
^Brouwer, D.; Clemence, G. M. (1961).Methods of Celestial Mechanics.New York, NY:Academic Press.p.45.

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[Moulton_1970-1] Multon, F. R. (1970).An Introduction to Celestial Mechanics(2nd ed.). New York, NY: Dover. pp. 182–183.

[Roy_1978-2] Roy, A. E. (1978).Orbital Motion.New York, NY:John Wiley & Sons.p. 174.ISBN 0-470-99251-4.

[Brouwer_Clemence_1961-3] Brouwer, D.; Clemence, G. M. (1961).Methods of Celestial Mechanics.New York, NY:Academic Press.p.45.

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