Regression of Nodes Solution

STEP 0: Pre-Calculation Summary
Formula Used
Regression Node = (Mean Motion*SCOM Constant)/(Semi Major Axis^2*(1-Eccentricity^2)^2)
nreg = (n*SCOM)/(asemi^2*(1-e^2)^2)
This formula uses 5 Variables
Variables Used
Regression Node - (Measured in Radian per Square Second) - Regression node refers to a node or point within a satellite network where regression testing is performed.
Mean Motion - (Measured in Radian per Second) - Mean Motion is angular speed required for a body to complete an orbit, assuming constant speed in circular orbit that takes same time as variable speed elliptical orbit of actual body.
SCOM Constant - (Measured in Square Meter) - SCOM Constant is typically related to the moment of inertia and other characteristics of the satellite, and it is specific to the particular satellite being analyzed.
Semi Major Axis - (Measured in Meter) - The Semi major axis can be used to determine the size of satellite's orbit. It is half of the major axis.
Eccentricity - Eccentricity refers to a characteristic of the orbit followed by a satellite around its primary body, typically the Earth.
STEP 1: Convert Input(s) to Base Unit
Mean Motion: 0.045 Radian per Second --> 0.045 Radian per Second No Conversion Required
SCOM Constant: 66063.2 Square Kilometer --> 66063200000 Square Meter (Check conversion ​here)
Semi Major Axis: 581.7 Kilometer --> 581700 Meter (Check conversion ​here)
Eccentricity: 0.12 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
nreg = (n*SCOM)/(asemi^2*(1-e^2)^2) --> (0.045*66063200000)/(581700^2*(1-0.12^2)^2)
Evaluating ... ...
nreg = 0.00904425092482818
STEP 3: Convert Result to Output's Unit
0.00904425092482818 Radian per Square Second --> No Conversion Required
FINAL ANSWER
0.00904425092482818 0.009044 Radian per Square Second <-- Regression Node
(Calculation completed in 00.004 seconds)

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Regression of Nodes Formula

​LaTeX ​Go
Regression Node = (Mean Motion*SCOM Constant)/(Semi Major Axis^2*(1-Eccentricity^2)^2)
nreg = (n*SCOM)/(asemi^2*(1-e^2)^2)

What is regression of nodes?

Regression of nodes is a rotation of the orbital plane in the direction opposite to the satellite motion around the axis of rotation of the earth.

How to Calculate Regression of Nodes?

Regression of Nodes calculator uses Regression Node = (Mean Motion*SCOM Constant)/(Semi Major Axis^2*(1-Eccentricity^2)^2) to calculate the Regression Node, The Regression of Nodes formula is defined as the node that moves direction opposite to that direction of satellites. Regression Node is denoted by nreg symbol.

How to calculate Regression of Nodes using this online calculator? To use this online calculator for Regression of Nodes, enter Mean Motion (n), SCOM Constant (SCOM), Semi Major Axis (asemi) & Eccentricity (e) and hit the calculate button. Here is how the Regression of Nodes calculation can be explained with given input values -> 0.009044 = (0.045*66063200000)/(581700^2*(1-0.12^2)^2).

FAQ

What is Regression of Nodes?
The Regression of Nodes formula is defined as the node that moves direction opposite to that direction of satellites and is represented as nreg = (n*SCOM)/(asemi^2*(1-e^2)^2) or Regression Node = (Mean Motion*SCOM Constant)/(Semi Major Axis^2*(1-Eccentricity^2)^2). Mean Motion is angular speed required for a body to complete an orbit, assuming constant speed in circular orbit that takes same time as variable speed elliptical orbit of actual body, SCOM Constant is typically related to the moment of inertia and other characteristics of the satellite, and it is specific to the particular satellite being analyzed, The Semi major axis can be used to determine the size of satellite's orbit. It is half of the major axis & Eccentricity refers to a characteristic of the orbit followed by a satellite around its primary body, typically the Earth.
How to calculate Regression of Nodes?
The Regression of Nodes formula is defined as the node that moves direction opposite to that direction of satellites is calculated using Regression Node = (Mean Motion*SCOM Constant)/(Semi Major Axis^2*(1-Eccentricity^2)^2). To calculate Regression of Nodes, you need Mean Motion (n), SCOM Constant (SCOM), Semi Major Axis (asemi) & Eccentricity (e). With our tool, you need to enter the respective value for Mean Motion, SCOM Constant, Semi Major Axis & Eccentricity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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