# Calculation for an object moving towards a galaxy

This page gives the details of the calculation for an object with no internal forces moving from the origin towards a comoving galaxy in an expanding universe, as described in my paper Expanding Space: Just say No at quantropy.org. The calculation is done using the Euler Math Toolbox.
```The file fxspace.e contains the function

togalaxy(t0,t1,v,chig,w)

which calculates when the two ends of the object reach the galaxy at
χg and returns tf0,tf1,vf0,lf,lf/l
```
```>load "fxspace.e"
```
```Now run the calculation for five different values of w:
-1/2,-1/3,0,1/3,2/3
```
```>togalaxy(1,1.005,0.2,0.1,-1/2)
```
```[ 2.82753179947  2.85311215555  0.0509861813527  0.00130424467423
1.30424467423 ]
```
```>togalaxy(1,1.005,0.2,0.1,-1/3)
```
```[ 1.98345631632  1.99337359791  0.102372660939  0.00101525850479
1.01525850479 ]
```
```>togalaxy(1,1.005,0.2,0.1,0)
```
```[ 1.72215757485  1.72906425559  0.140660781554  0.00097149910982
0.97149910982 ]
```
```>togalaxy(1,1.005,0.2,0.1,1/3)
```
```[ 1.64521106023  1.65139549762  0.157163820363  0.000971969805636
0.971969805636 ]
```
```>togalaxy(1,1.005,0.2,0.1,2/3)
```
```[ 1.60800659179  1.61386610643  0.166447891354  0.000975303856894
0.975303856894 ]
```