Radius: r in meters (m) or kilometers (km)
Mass: M (kg)
Density: ∂=M/volume (kg/m3)
Mass of Sun: Msun= 2x1030 kg (Approximately the same for PSN)
Mass of Earth=Me= 6x1024 kg
Astronomical Unit: AU = 150x109 meters
Universal Gravitational Constant: G= 6.67x10-20 (km3/kg sec2)
Radius of Earth: Re=6378 kilometers
Rotation Rate: 𝜔= 2π/P (Radians/sec)
Orbital Period: P= 2π√( r3/μ) (Seconds)
μ = GMsun = 1.33 x 1011 (km3/sec2)
Centrifugal Force: Fc = M𝜔2𝑟 (kg m/𝑠𝑒𝑐2)
Gravitational Force: Fg= μM/r2 (kg m/𝑠𝑒𝑐2)
Orbital Velocity: V= √(μ /r)
Volume Of Sphere: V = 43 𝜋𝑟3
Momentum: p = M v 𝑘𝑔 𝑚/𝑠𝑒𝑐
Angular Momentum: L=M V r
Revolving Angular Momentum: Lrev= 2𝜋𝑀𝑟2/P (𝑘𝑔 𝑚2)/𝑠𝑒𝑐)
Learth rev= 2.7x1040 𝑘𝑔 𝑚2/𝑠𝑒𝑐
Rotational Angular Momentum: Lrot = 45𝜋𝑀𝑟2/P (𝑘𝑔 𝑚2)/𝑠𝑒𝑐)
Lsun rot = 1.1x 1042 (𝑘𝑔 𝑚2)/𝑠𝑒𝑐)
Learth rot = 7.1x1033 (𝑘𝑔 𝑚2)/𝑠𝑒𝑐)
Solid Sphere Moment of Inertia: I= 25𝑀𝑟2 (kg 𝑚2)
Thin Spherical Shell Moment of Inertia: I = 23𝑀𝑟2 (kg 𝑚2)
Kinetic Energy of rotating Sphere = 12 I𝜔2 (kg 𝑚2/𝑠𝑒𝑐2