Build your own Orbit (Hot Jupiters)

Описание: In which I show you how to construct stable orbits for your Hot Jupiters, Hot Neptune and Hot Saturns. Learn how to set your planets orbital eccentricity, semi-major axis and semi-minor axis.
Figure out how close your planet will get to its star (periapsis) and how far away it will get (apoapsis).
Find your planets orbital period or year length and how fast it orbits its star (orbital velocity).
Finally, an introduction to working with such classical orbital elements such as inclination, longitude of the ascending node and argument of periapsis.

Enjoy! :)


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Equations and ranges:

Semi major axis: 0.04 - 0.05 AU
Eccentricity: 0 - 1 (pref. 0.00x - 0.0x)
Equation of an ellipse: x^2/a^2 + y^2/b^2 = 1
Semi-minor axis: b = a*sqrt(1 - e^2)
Periapsis (closest approach): q = a(1 - e)
Apoapsis (furthest approach): Q = a(1 + e)
Orbital period: P = sqrt(a^3/M)
Orbital velocity: V_o = sqrt(M/R)
Inclination: 0 - 180 deg
Longitude of the ascending node: 0 - 360 deg
Argument of Periapsis: 0 - 360 deg

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Links:

UNIVERSE SANDBOX: http://universesandbox.com/
GRAPHIC CALCULATOR: https://www.desmos.com/calculator