Wednesday, November 23, 2022

Jacobi at Venus

To carry on from Jacobi: where Venereans come in, is where we orbit the smaller body to consider how to get across to other orbits. Like the Hohmann to Earth - which is sideways, so may be crossing the Hill Region. Or: how to get from orbiting Venus over to the Trojan Haloes.

As with Luna we may assume the planet orbits exactly in the frame-of-reference.

RESTORATION 12/25 - Finally we've found some maths to work this. Single-precision floats, sorry.

var xy = new Vector2() { X = 1F - 0.009315F, Y = 0F };
var muSmall = 0.815 / 332946;

J is 3.0007826, if at SVL1. That's the keyhole whither those escaping/approaching Venus inward must target. Note that these units be in Venereal AU with that planet's sidereal year.

I am more-partial to SVL2. To/from that and Venus (and inbound): X = 2 - 108.21/109.22 for J = 3.0007795 a tiny bit less. Every gram, nu?

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