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Calculator Description
Newton Calculator v1

Newton's Laws of Motion

Newton calculates the orbital properties of a satellite orbiting a force-centre

Newton is the culmination of over two years of work by one of CalQlata’s contributors to make Newton’s laws of motion available to everybody. However, in doing this work, Keith Dixon-Roche also discovered the formula and exact value for Newton’s gravitational constant (G), planetary spin theory and the fact that Newton’s laws work perfectly well for atoms, whilst classical theory probably doesn’t.

In this and other pages associated with the Newton calculator, the term satellite refers to any natural mass (m₂) such as a star, planet, moon, etc. freely orbiting a force-centre (m₁) such as a black-hole, star, planet, etc.

Subject

Whilst Johannes Kepler originally told us that satellites always orbit in elliptical paths, Isaac Newton told us why.

Newton’s two most important constants are his universal gravitational constant ‘G’ and his motion constant ‘h’

To date, ‘G’ has been estimated and allocated units of convenience (N.kg²/m²). Today, however, its formula and exact value are known along with its correct units (m³/s²/kg) and is defaulted in Newton.

Whilst Newton’s motion constant (h) is actually a variable, it remains the same throughout any given satellite’s orbit and forms the basis as to why all the satellites (in a vacuum) should continue in their orbits ‘forever’

Calculator

The Newton Calculator describes a satellite’s orbital shape and its dynamic properties at its perigee and its apogee along with all the arbitrary variables generated during the calculation. You can find all the formulas used in this calculator, along with their description and verification on our web page; Laws of Motion

According to Newton’s laws of motion, you may extract any given satellite from one orbit and slot it into any other orbit. It will follow the same orbital path. The Newton calculator now allows you to prove it; try slotting Jupiter into earth’s orbit, it works! You can find the properties for Jupiter as m₂ in our Laws of Motion and Spin Theory web pages.

Whilst you may enter any value for ‘G’ in Newton, the accuracy of your results will suffer unless the correct (defaulted) value is used.

This calculator also enables you to prove that dark matter is not necessary to describe the orbital path of our sun in the Milky Way galaxy and therefore does not exist. The properties of the Milky-Way’s force-centre (m₁) are included in the Technical Help page of the Newton calculator.

For help using this calculator, see Technical Help

Newton's Laws of Motion - Options

Newton's Laws of Motion

Newton calculates the orbital shape and dynamic properties of a satellite orbiting a force-centre.

You enter: and the Newton calculator will provide:
  • Mass of force-centre
  • Mass of satellite
  • Radius of satellite
  • Orbital period of satellite
  • Distance between force-centre and satellite at perigee
  • Newton's gravitational constant
  • Major semi-axis of orbit
  • Minor semi-axis of orbit
  • Orbital eccentricity
  • Orbital half-parameter
  • Distance from perigee to focus
  • Distance from centre of ellipse to focus
  • Length of orbital path
  • Constant of proportionality
  • Orbital area
  • Gravitational force between force-centre and satellite at perigee
  • Centripetal force between force-centre and satellite at perigee
  • Gravitational acceleration of force-centre at perigee
  • Satellite velocity at perigee
  • Potential energy in satellite at perigee
  • Kinetic energy in satellite at perigee
  • Total energy in satellite at perigee
  • Distance between force-centre and satellite at apogee (orbital calculation)
  • Distance between force-centre and satellite at apogee (force calculation)
  • Gravitational force between force-centre and satellite at apogee
  • Centripetal force between force-centre and satellite at apogee
  • Gravitational acceleration of force-centre at apogee
  • Satellite velocity at apogee
  • Potential energy in satellite at apogee
  • Kinetic energy in satellite at apogee
  • Total energy in satellite at apogee
  • Spin energy induced by force-centre on satellite
  • Spin energy induced by satellite on force-centre
  • Newton's constant of motion
  • Rotational inertia of satellite
  • Calculation variables
  • Calculation error for gravitational and centripetal force at perigee
  • Calculation error for gravitational and centripetal force at apogee
  • Calculation error for distance between force-centre and satellite at apogee

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