Friday, March 25, 2016

ACCELERATIONS OF STARS……AN APPLICATION OF EQUATIONS OF MOTIONS.

ACCELERATIONS OF STARS……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:25,MARCH,2016
DATE  OF ENTRY OF INVENTIONS:MARCH,25,2016
PAPER NO: PAPFMJ/QGP 65/4420.



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

(A)REVOLVING ACCELERATION OF STARS
The Star revolves around a Galactic centre like Sun due to gravity field of Milky way’s galactic centre(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 Star.The force which it moves this Star  is related to its velocity[2] 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 and cluster of star’s radiation  Radiation this becomes
F=[1/2(MV^2)]x10^3x10^3/(Dx1.6)………..(02)Here Transformation constant of Unity type for the transformation of Matter to radiation like C=10^3=1 is utilized.
In case of Sun,m=1.988x10^30kg,V=revolving velocity of Sun around Galactic centre=220km/s=2.2x10^5m/s,D=gravity field limiting[2] value of Galaxy=50000A.U=7.1000x10^15m(value taken from Wikipedia,as Solar system grown from its primary state).Therefore using (02) force becomes 2.1127x10^30N.

This is the real force with which a Star like Sun revolves around the Milky way’s Galactic Centre.The acceleration of Star during its revolving motion can be calculated using equation
Revolving acceleration of Star=a= F/M………(03),
where F is the value from equation (02).Thus in case of Sun a=1.0617m/s^2
The Sun is revolving around the Galactic centre with acceleration 1.0617m/s^2.Thus using equation (03) with modification as in (02) can be used for the calculation of revolving acceleration of a Star around Galactic centre.

(B)ROTATIONAL ACCELERATION OF STAR
The Star rotates around itself .Here it chooses the value like rotational velocity of Star.In case of Sun it is 1.99m/S.The above acceleration transforms as velocity like 1.0617x2=2.125m/s.This is the rotational velocity.The force which it rotates this Star is related to its modified value of roational velocity=2.125x10^3(energy equivalence of radiation is considered) by the following 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 and cluster of star’s Radiation[3] this becomes
F’=[1/2(MV^2)]x10^3x10^3/(Dx10^-4x1.6)………..(05)
In case of Sun,m=1.988x10^30kg,V=rotational  velocity of Sun around itself=2.125x10^3m/s=,D=Diameter of Sun=2x6.9070x10^8m.Therefore using (05) force becomes 2.0306x10^37N.

This is the real force with which a Star like Sun rotates around itself.The acceleration of Star during its rotational motion can be calculated using equation
Rotating acceleration of Star=a= F’/M………(06),
where F’ is the value from equation (05).Thus in case of Sun a=2.0306x10^37N/1.988x10^30kg=1.0214x10^7m/s^2
The Sun is rotatinging around itself with equivalent acceleration like a/C=1.0214x10^-1m/s^2 as 1.0214x10^7m/s^2.Thus using equation (06) with modification as in (05) and correction of moving mass as rest mass  can be used for the calculation of rotational acceleration of a Star itself.
This acceleration like 0.10214m/s^2 links to the value like acceleration due to gravity of Sun.Here gravitating 1D nature is useful via gravitational interaction like{ (1.0214x10^7)x1.1]/(10x4)=2.80x10^5m/s^2,here gravity interaction like 1.1 is taken into account.Therfore the value of g for Sun is 2.80x10^5m/s^2.From other method it is 2.7386x10^5m/s^2
Above method of Calculation is useful for calculations of accelerations of different Stars around Galactic centre.
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 Sun,in case of (A) MV^2/R  can be modified as [(π/2) x10^3x10x10x1.1x1.1]xMV^2/R.In case (B)  [(10x10^8)/( π/2)]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] EARTH BY WIKIPEDIA,UPDATED DURING 2016
[3] ACCELERATION DUE TO GRAVITY OF STARS-PROTON/NETRON STAR
,BY MUNISHKUMAR.B.CHINNAKAR   IN HIS ONLINE JOURNAL/SITE /BLOGGER IN GOOGLE DATED  06/12/2014

(MUNISHKUMAR.B.CHINNAKAR)





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