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Regression of Nodes Formula

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Regression node refers to a node or point within a satellite network where regression testing is performed. Check FAQs

n reg = \frac{n \cdot SCOM}{{a semi}^{2} \cdot {(1 - e^{2})}^{2}}

n_reg - Regression Node?n - Mean Motion?SCOM - SCOM Constant?a_semi - Semi Major Axis?e - Eccentricity?

Regression of Nodes Example

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Here is how the Regression of Nodes equation looks like with Values.

Here is how the Regression of Nodes equation looks like with Units.

Here is how the Regression of Nodes equation looks like.

0.009 = \frac{0.045 \cdot 66063.2}{{581.7}^{2} \cdot {(1 - {0.12}^{2})}^{2}}

0.009rad/s² = \frac{0.045rad/s \cdot 66063.2km²}{{581.7km}^{2} \cdot {(1 - {0.12}^{2})}^{2}}

0.009 = \frac{0.045 \cdot 66063.2}{{581.7}^{2} \cdot {(1 - {0.12}^{2})}^{2}}

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Regression of Nodes Solution

Follow our step by step solution on how to calculate Regression of Nodes?

FIRST Step Consider the formula

n reg = \frac{n \cdot SCOM}{{a semi}^{2} \cdot {(1 - e^{2})}^{2}}

Next Step Substitute values of Variables

∴

n reg = \frac{0.045rad/s \cdot 66063.2km²}{{581.7km}^{2} \cdot {(1 - {0.12}^{2})}^{2}}

Next Step Convert Units

∴

n reg = \frac{0.045rad/s \cdot 6.6E+10m²}{{581700m}^{2} \cdot {(1 - {0.12}^{2})}^{2}}

Next Step Prepare to Evaluate

∴

n reg = \frac{0.045 \cdot 6.6E+10}{581700^{2} \cdot {(1 - {0.12}^{2})}^{2}}

Next Step Evaluate

∴

n reg = 0.00904425092482818rad/s²

LAST Step Rounding Answer

∴

n reg = 0.009rad/s²

Regression of Nodes Formula Elements

Variables

Regression Node

Regression node refers to a node or point within a satellite network where regression testing is performed.

Symbol: n_reg

Measurement: Angular AccelerationUnit: rad/s²

Note: Value can be positive or negative.

Formulas to find Regression Node

Mean Motion

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.

Symbol: n

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Mean Motion

SCOM Constant

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.

Symbol: SCOM

Measurement: AreaUnit: km²

Note: Value can be positive or negative.

Formulas to find SCOM Constant

Semi Major Axis

The Semi major axis can be used to determine the size of satellite's orbit. It is half of the major axis.

Symbol: a_semi

Measurement: LengthUnit: km

Note: Value should be greater than 0.

Formulas to find Semi Major Axis

Eccentricity

Eccentricity refers to a characteristic of the orbit followed by a satellite around its primary body, typically the Earth.

Symbol: e

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Eccentricity

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How to Evaluate Regression of Nodes?

Regression of Nodes evaluator uses Regression Node = (Mean Motion*SCOM Constant)/(Semi Major Axis^2*(1-Eccentricity^2)^2) to evaluate 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 n_reg symbol.

How to evaluate Regression of Nodes using this online evaluator? To use this online evaluator for Regression of Nodes, enter Mean Motion (n), SCOM Constant (SCOM), Semi Major Axis (a_semi) & Eccentricity (e) and hit the calculate button.

FAQs on Regression of Nodes

What is the formula to find Regression of Nodes?

The formula of Regression of Nodes is expressed as Regression Node = (Mean Motion*SCOM Constant)/(Semi Major Axis^2*(1-Eccentricity^2)^2). Here is an example- 0.009044 = (0.045*66063200000)/(581700^2*(1-0.12^2)^2).

How to calculate Regression of Nodes?

With Mean Motion (n), SCOM Constant (SCOM), Semi Major Axis (a_semi) & Eccentricity (e) we can find Regression of Nodes using the formula - Regression Node = (Mean Motion*SCOM Constant)/(Semi Major Axis^2*(1-Eccentricity^2)^2).

Can the Regression of Nodes be negative?

Yes, the Regression of Nodes, measured in Angular Acceleration can be negative.

Which unit is used to measure Regression of Nodes?

Regression of Nodes is usually measured using the Radian per Square Second[rad/s²] for Angular Acceleration. Radian per Square Minute[rad/s²], Revolution per Square Second[rad/s²], Revolution per Square Minute[rad/s²] are the few other units in which Regression of Nodes can be measured.

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