ACCELERATIONS OF NATURAL SATELITTES……AN APPLICATION OF EQUATIONS OF MOTIONS.

ACCELERATIONS OF NATURAL SATELITTES……AN APPLICATION  OF EQUATIONS OF MOTIONS.

NAME OF THEORETICAL PARTICLE ASTROPHYSICIST : MUNISHKUMAR.B.CHINNAKAR.

             

PLACE OF INVENTIONS: MUNISHKUMAR.B.C’S FIRST FLOOR BUILDING NEAR BHAIRI WELL BOYER STREET,SHORAPUR,PIN:585224 DIST:YADAGEER,KARNATAKA STATE INDIA.

                   

CO-WORKERS:NO CO-WORKERS.

DATE  OF INVENTIONS:23,MARCH,2016

DATE  OF ENTRY OF INVENTIONS:MARCH,24,2016

PAPER NO: PAPFMJ/QGP 64/4419.

Equations of motions as described by Newton were correct but as such force quation will not describe anything regarding force distribution during motion.Further they are not correctly describing the acceleration of Sateliites.Therefore My modified equations of Motions[1] are useful.These modified equations of motions can be used to calculate rotational acceleration and revolving acceleration of different Natural satellites around Planet and Star(The values calculated are consistent with other equations of motion like centripetal/centrifugal motions).This is as follows.

(A)REVOLVING ACCELERATION OF SATELITTE ARROUND SUN

The Satelitte revolves around a Planet like Earth  and also around Star due to gravity field of Star and Planet(when it is alone it would have been moved due to self motion).Here it chooses the value like acceleration due to gravity of star at the place of Satellite.In case of Earth /Moon[2] it is 6km/S^2.The force which it moves this planet is related to its velocity by the following equation.

             1/2(MV^2)=FxDx1.6…………(01)

This gives a force F=[1/2(MV^2)]/Dx1.6.But this force is purely gravitational but in presence of Star’s Radiation this becomes

F=[1/2(MV^2)]x10^3/Dx1.6………..(02)

In case of Moon,m=7.324x10^22kg,V=revolving velocity of Moon around Sun=30km/s=3x10^4m/s,D=gravity field limiting value of earth2.5x10^8m.Therefore using (02) force becomes 3.3039x10^25N.

This is the real force with which a Satelitte like Moon revolves around the Sun.The acceleration of Satelitte during its revolving motion can be calculated using equation

Revolving acceleration of Satelitte=a= F/M………(03),

where F is the value from equation (02).Thus in case of Moon a=3.3039x10^25N/7.324x10^22kg=450m/s^2

The Moon is revolving around the Sun with acceleration 450m/s^2.Thus using equation (03) with modification as in (02) can be used for the calculation of revolving acceleration of a Satellite around Star.

oses the value likerotational velocity of planet.In case of earth it is 436m/S.The force which it rotates this planet is related to its roational velocity by the following equation.

(B)REVOLVING ACCELERATION OF SATELITTE ARROUND EARTH

The Satelitte like Moon revolves around a Planet like Earth.The force with which it moves is related to velocity[3] by equation.

             1/2(MV^2)=F’xDx1.6…………(04)

This gives a force F’=[1/2(MV^2)]/Dx1.6.But this force is purely gravitational but in presence of Star’s Radiation this becomes

F’=[1/2(MV^2)]x10^3/Dx1.6………..(05)

In case of Moon,m=7.324x10^22kg,V=revolving velocity of Moon around Earth=1.022km/s=,D=gravity field limiting value of Moon=2.5x10^8m.Therefore using (05) force becomes 9.585x10^22N.

This is the real force with which a Satelitte like Moon revolves around the Earth.The acceleration of Satelitte during its revolving motion can be calculated using equation

Revolving acceleration of Satelitte=a= F’/M………(06),

where F’ is the value from equation (05).Thus in case of Moon a=9.585x10^22N/7.324x10^22kg=1.3m/s^2

The Moon is revolving around the Earth with acceleration 1.3m/s^2.Thus using equation (06) with modification as in (05) can be used for the calculation of revolving acceleration of a Satellite around Planet.

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(C)ROTATIONAL ACCELERATION OF SATELITTE

The Satelitte rotates around itself .Here it chooses the value like rotational velocity of Satelite.In case of Moon it is 4.627m/S.The force which it rotates this planet is related to its roational velocity by the following equation.

             1/2(MV^2)=F’’xDx1.6…………(06)

This gives a force F’’=[1/2(MV^2)]/Dx1.6.But this force is purely gravitational but in presence of Star’s Radiation this becomes

F’’=[1/2(MV^2)]x10^3/Dx1.6………..(07)

In case of Moon m=7.324x10^22kg,V=rotational  velocity of Moon around itself=4.627m/s=,D=Diameter of Moon=1737.1x2x10^3m.Therefore using (07) force becomes 3.59x10^18N.

This is the real force with which a Satelitte like Moon rotates around itself.The acceleration of Satelitte during its rotational motion can be calculated using equation(07)

Rotating acceleration of Satelitte=a= F’’/M………(08),

where F’’ is the value from equation (07).Thus in case of Moon a=3.59x10^18N/7.3242x10^22kg=5x10^-5m/s^2

The Moon is rotatinging around itself with acceleration 5x10^-5m/s^2.Thus using equation (08) with modification as in (07) can be used for the calculation of rotational acceleration of a Satelitte itself.

The revolving acceleration of Moon like 450m/s^2 oscillates with interaction via contracting gravitating and regravitating nature yielding acceleration 450/(10x10)=4.5m/s^2.This then adds to gravitatively interacted revolving acceleration of Moon around Earth like 1.3/10. Therefore,For Moon at its vicinity acceleration becomes 4.5+1.3/10=4.63m/s^2.This becomes Roational velocity[3] of Moon around itself.

This rotational velocity around Moon itself links to its g as 4.63x2x(2)^1/2=13.09561/(4x2)=1.63m/S^2.This like 1D value of 4D.

NOTE:Equations (03) and (06) are consistent with equations like MV^2/R=F=Mxa (with modification to this for consistency using useful reasons).In the above example of Moon,in case of (A) MV^2/R  can be modified as [10^3x10x10/(2)^1/2]xMV^2/R.In case (B)  [(10^3)/(2X1.1)]xMV^2/R, in case of (C) MV^2/R  can be modified as [10/(10/4)]xMV^2/R.

         

         

REFERENCES:

[1] EQUATIONS OF MOTIONS

,BY MUNISHKUMAR.B.CHINNAKAR   IN HIS ONLINE JOURNAL/SITE /BLOGGER IN GOOGLE DATED  07/03/2016

  [2] ACCELERATION DUE TO GRAVITY OF STARS-PHOTON STAR

,BY MUNISHKUMAR.B.CHINNAKAR   IN HIS ONLINE JOURNAL/SITE /BLOGGER IN GOOGLE DATED  06/11/2014

  [3]MOON BY WIKIPEDIA,UPDATED DURING 2016