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Circular Orbits

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Elliptical Orbits

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Hyperbolic Orbits

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Contents of the Parabolic Orbits PDF

List of 14 Parabolic Orbits Formulas

Angular Momentum given Perigee Radius of Parabolic Orbit

Escape Velocity given Radius of Parabolic Trajectory

Mean Anomaly in Parabolic Orbit given Time since Periapsis

Mean Anomaly in Parabolic Orbit given True Anomaly

Parameter of Orbit given X Coordinate of Parabolic Trajectory

Parameter of Orbit given Y Coordinate of Parabolic Trajectory

Perigee Radius of Parabolic Orbit given Angular Momentum

Radial Position in Parabolic Orbit given Angular Momentum and True Anomaly

Radial Position in Parabolic Orbit given Escape Velocity

Time since Periapsis in Parabolic Orbit given Mean Anomaly

True Anomaly in Parabolic Orbit given Mean Anomaly

True Anomaly in Parabolic Orbit given Radial Position and Angular Momentum

X Coordinate of Parabolic Trajectory given Parameter of Orbit

Y Coordinate of Parabolic Trajectory given Parameter of Orbit

Variables used in Parabolic Orbits PDF

h_p Angular Momentum of Parabolic Orbit (Square Kilometer per Second)
M_p Mean Anomaly in Parabolic Orbit (Degree)
p_p Parameter of Parabolic Orbit (Kilometer)
r_p Radial Position in Parabolic Orbit (Kilometer)
r_p,perigee Perigee Radius in Parabolic Orbit (Kilometer)
t_p Time since Periapsis in Parabolic Orbit (Second)
v_p,esc Escape Velocity in Parabolic Orbit (Kilometer per Second)
x X Coordinate Value (Kilometer)
y Y Coordinate Value (Kilometer)
θ_p True Anomaly in Parabolic Orbit (Degree)

Constants, Functions and Measurements used in Parabolic Orbits PDF

Constant: [GM.Earth], 3.986004418E+14
Earth’s Geocentric Gravitational Constant
Function: acos, acos(Number)
The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.
Function: atan, atan(Number)
Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.
Function: cos, cos(Angle)
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Function: sin, sin(Angle)
Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
Function: sqrt, sqrt(Number)
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Function: tan, tan(Angle)
The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.
Measurement: Length in Kilometer (km)
Length Unit Conversion
Measurement: Time in Second (s)
Time Unit Conversion
Measurement: Speed in Kilometer per Second (km/s)
Speed Unit Conversion
Measurement: Angle in Degree (°)
Angle Unit Conversion
Measurement: Specific Angular Momentum in Square Kilometer per Second (km²/s)
Specific Angular Momentum Unit Conversion

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