ACCELERATIONS OF GALAXIES……AN APPLICATION OF EQUATIONS OF MOTIONS

ACCELERATIONS OF GALAXIES……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:26,MARCH,2016

DATE  OF ENTRY OF INVENTIONS:MARCH,26,2016

PAPER NO: PAPFMJ/QGP 66/4421.

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 Galaxies.Therefore My modified equations of Motions[1] are useful.These modified equations of motions can be used to calculate self rotational acceleration and linear acceleration of different Galaxies(The values calculated are consistent with other equations of motion like centripetal/centrifugal motions).This is as follows.

(A)LINEAR ACCELERATION OF GALAXIES due to

The Galaxy moves due to its own gravity field as energy.Most of the galaxies are moving independently of other galaxies.Due to motion of Stars and Planets and also due to motion of stellar systems,configuration of Gravity field changes around the Galaxy.This results in change in its velocity.Therefore Galaxy accelerates.The force which it moves this Galaxy  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 Self Galaxy’s  Radiation this becomes

F=[1/2(MV^2)]x10^3/(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 Milky way Galaxy,m=1. 988x10^30x1.5x10^12kg, V=linear velocity of Galaxy in rarermost free space=5.58x10^5m/s,D=gravity field limiting value of Milky way Galaxy=180kly(value taken from Wikipedia).Therefore using (02) force becomes 1.7027x10^35N.

This is the real force with which a Milky way like Galaxy linearly moves for certain number of years.The acceleration of Galaxy during its motion can be calculated using equation

 Linear acceleration of Galaxy=a= F/M………(03),

where F is the value from equation (02).Thus in case of Milky way a=(1/a)/(10x10)=1.7512x10^5m/s^2

The Milky way is moving with acceleration 1.7512x10^5m/s^2.Thus using equation (03) with modification as in (02) with correction can be used for the calculation of acceleration of a Galaxy during its motion.

(B)ROTATIONAL ACCELERATION OF GALAXY.

The Galaxy rotates around itself .Here it chooses the value like linear acceleration as rotational velocity with modification  .In case of Milky way it is 1.7512x10^5x10^3m/S.The force which rotates this Galaxy is related to its modified value of roational velocity(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 Galactic ’s  Radiation[3] this becomes

F’=[1/2(MV^2)]x10^3x10^3/(Dx10^-4x1.6)………..(05)

In case of Milky way,m=1.5x10^12x1.988x!0^30kg,V=rotational  velocity of Milky way around itself=1.7512x10^5x10^3m/s=,D=Diameter of Milky way=180x10^3x9.467x10^15m.Therefore using (05) force becomes 1.67x10^47N.

This is the real force with which a Galaxy like Milky way rotates around itself.The acceleration of Milky way during its rotational motion can be calculated using equation

Rotating acceleration of Milky way=a= F’/M………(06),

where F’ is the value from equation (05).Thus in case of Milky way a=1.67x10^47N/(1.5x10^12x1.988x10^30)kg=0.5613x10^5m/s^2=56.13km/s^2.

The Milky way  is rotatinging around itself with  acceleration like a=56.13km/s^2 .Thus using equation (06) with modification as in (05)  can be used for the calculation of rotational acceleration of a Galaxy itself.

This acceleration like 56.13km/s^2 links to the value like acceleration due to gravity of Milky way.Here gravitating nature is useful ,therefore g=10x56.13km/s^2=561.3km/s^2. Above method of Calculation is useful for calculations of accelerations of different Galaxies.

NOTE:Equation (06) is consistent with equations like MV^2/R=F=Mxa (with modification to this for consistency using useful reasons).In the above example of Milky way,.In case (B)  [(10^3)^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] MILKY WAY 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