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Contents of the Elliptical Orbits PDF

List of 23 Elliptical Orbits Formulas

Angular Momentum in Elliptic Orbit Given Apogee Radius and Apogee Velocity

Angular Momentum in Elliptic Orbit Given Perigee Radius and Perigee Velocity

Apogee Radius of Elliptic Orbit Given Angular Momentum and Eccentricity

Apogee Velocity in Elliptic Orbit Given Angular Momentum and Apogee Radius

Azimuth-Averaged Radius Given Apogee and Perigee Radii

Eccentric Anomaly in Elliptic Orbit given True Anomaly and Eccentricity

Eccentricity of Elliptical Orbit given Apogee and Perigee

Eccentricity of Orbit

Elliptical Orbit Time Period given Angular Momentum and Eccentricity

Mean Anomaly in Elliptic Orbit given Eccentric Anomaly and Eccentricity

Mean Anomaly in Elliptic Orbit given Time since Periapsis

Radial Velocity in Elliptic Orbit given Radial Position and Angular Momentum

Radial Velocity in Elliptic Orbit given True Anomaly, Eccentricity, and Angular Momentum

Semimajor Axis of Elliptic Orbit given Apogee and Perigee Radii

Specific Energy of Elliptic Orbit given Angular Momentum

Specific Energy of Elliptic Orbit given Semi Major Axis

Time Period for One Complete Revolution given Angular Momentum

Time Period of Elliptical Orbit given Angular Momentum

Time Period of Elliptical Orbit given Semi-Major Axis

Time since Periapsis in Elliptic Orbit given Eccentric Anomaly and Time Period

Time since Periapsis in Elliptic Orbit given Mean Anomaly

True Anomaly in Elliptic Orbit given Eccentric Anomaly and Eccentricity

True Anomaly in Elliptic Orbit Given Radial Position, Eccentricity, and Angular Momentum

Variables used in Elliptical Orbits PDF

a_e Semi Major Axis of Elliptic Orbit (Kilometer)
b_e Semi Minor Axis of Elliptic Orbit (Kilometer)
d_foci Distance Between Two Foci (Kilometer)
E Eccentric Anomaly (Degree)
e_e Eccentricity of Elliptical Orbit
h_e Angular Momentum of Elliptic Orbit (Square Kilometer per Second)
M_e Mean Anomaly in Elliptical Orbit (Degree)
r_e Radial Position in Elliptical Orbit (Kilometer)
r_e,apogee Apogee Radius in Elliptic Orbit (Kilometer)
r_e,perigee Perigee Radius in Elliptic Orbit (Kilometer)
r_θ Azimuth Averaged Radius (Kilometer)
t_e Time since Periapsis in Elliptical Orbit (Second)
T_e Time Period of Elliptic Orbit (Second)
v_apogee Velocity of Satellite at Apogee (Kilometer per Second)
v_perigee Velocity of Satellite at Perigee (Kilometer per Second)
v_r Radial Velocity of Satellite (Kilometer per Second)
ε_e Specific Energy of Elliptical Orbit (Kilojoule per Kilogram)
θ_e True Anomaly in Elliptical Orbit (Degree)

Constants, Functions and Measurements used in Elliptical Orbits PDF

Constant: pi, 3.14159265358979323846264338327950288
Archimedes' constant
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: Pi, Pi(Number)
The prime-counting function is a function in mathematics that counts the number of prime numbers that are less than or equal to a given real number.
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 Energy in Kilojoule per Kilogram (kJ/kg)
Specific Energy Unit Conversion
Measurement: Specific Angular Momentum in Square Kilometer per Second (km²/s)
Specific Angular Momentum Unit Conversion

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