Radial motion¶

Many properties regarding the movement of planets in the gravitational field of the star can be found by studing the energy equation of the radial motion of the planet.

Contents:

  • Average potential energy via average kinetic energy
    • average_potential_energy
    • average_kinetic_energy
    • law
  • Potential energy of radial planetary motion
    • total_potential_energy
    • gravitational_potential_energy
    • angular_momentum
    • planetary_mass
    • distance
    • law
  • Radial kinetic energy plus potential energy is constant
    • planetary_mass
    • radial_speed
    • potential_energy
    • total_mechanical_energy
    • law
  • Semimajor axis via Kepler’s constant and total energy
    • semimajor_axis
    • kepler_constant
    • specific_energy
    • law
  • Semiminor axis of elliptical orbit via orbit parameters
    • semiminor_axis
    • sector_speed
    • semimajor_axis
    • attracting_mass
    • law
  • Total energy is negative average kinetic energy
    • total_mechanical_energy
    • average_kinetic_energy
    • law

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    • Gravity
      • Radial motion
        • Average potential energy via average kinetic energy
        • Potential energy of radial planetary motion
        • Radial kinetic energy plus potential energy is constant
        • Semimajor axis via Kepler’s constant and total energy
        • Semiminor axis of elliptical orbit via orbit parameters
        • Total energy is negative average kinetic energy
      • Gravity (Vector)
      • Angle of rotation during gravitational maneuver
      • Area rate of change is proportional to angular momentum
      • Corrected planet period squared is proportional to cube of semimajor axis
      • Easterly deviation from plumbline of falling bodies
      • Eccentricity of orbit
      • First escape speed
      • Free fall acceleration from height
      • Gravitational potential energy
      • Gravitational radius of massive body
      • Gravitational force from mass and distance
      • Kepler’s constant via attracting body mass
      • Semimajor axis of orbit via mass and speed
      • Maximum angle of rotation during gravitational maneuver
      • Maximum height of body thrown at angle to horizon
      • Time of flight of a projectile via initial velocity
      • Time of flight of a projectile via maximum height
      • Orbital speed from semimajor axis and planet mass
      • Planet period squared is proportional to cube of semimajor axis
      • Radius of geostationary orbit
      • Horizontal displacement of projectile
      • Second escape velocity
      • Southerly deviation from plumbline of falling bodies
      • Third cosmic speed from orbital and second cosmic speed
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Related Topics

  • Documentation overview
    • Laws
      • Gravity
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