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Contents of the Hyperbolic Orbits PDF

List of 11 Hyperbolic Orbits Formulas

Aiming Radius in Hyperbolic Orbit given Semi-Major Axis and Eccentricity

Hyperbolic Eccentric Anomaly given Eccentricity and True Anomaly

Mean Anomaly in Hyperbolic Orbit given Hyperbolic Eccentric Anomaly

Perigee Radius of Hyperbolic Orbit given Angular Momentum and Eccentricity

Radial Position in Hyperbolic Orbit given Angular Momentum, True Anomaly, and Eccentricity

Semi-Major Axis of Hyperbolic Orbit given Angular Momentum and Eccentricity

Time since Periapsis in Hyperbolic Orbit given Hyperbolic Eccentric Anomaly

Time since Periapsis in Hyperbolic Orbit given Mean Anomaly

True Anomaly in Hyperbolic Orbit given Hyperbolic Eccentric Anomaly and Eccentricity

True Anomaly of Asymptote in Hyperbolic Orbit given Eccentricity

Turn Angle given Eccentricity

Variables used in Hyperbolic Orbits PDF

a_h Semi Major Axis of Hyperbolic Orbit (Kilometer)
e_h Eccentricity of Hyperbolic Orbit
F Eccentric Anomaly in Hyperbolic Orbit (Degree)
h_h Angular Momentum of Hyperbolic Orbit (Square Kilometer per Second)
M_h Mean Anomaly in Hyperbolic Orbit (Degree)
r_h Radial Position in Hyperbolic Orbit (Kilometer)
r_perigee Perigee Radius (Kilometer)
t Time since Periapsis (Second)
δ Turn Angle (Degree)
Δ Aiming Radius (Kilometer)
θ True Anomaly (Degree)
θ_inf True Anomaly of Asymptote in Hyperbolic Orbit (Degree)

Constants, Functions and Measurements used in Hyperbolic 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: asin, asin(Number)
The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given 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: atanh, atanh(Number)
The inverse hyperbolic tangent function returns the value whose hyperbolic tangent is a number.
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: sinh, sinh(Number)
The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function.
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.
Function: tanh, tanh(Number)
The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh).
Measurement: Length in Kilometer (km)
Length Unit Conversion
Measurement: Time in Second (s)
Time 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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