Tom Kalbfus
Mongoose
The idea is that a time machine creates a portal to the past, it can only open up existing wormholes by expanding them from the quantum foam of the vacuum. Thus the gates are to a specific world, in this case Earth.. There is a concept I am using here called "Absolute Now" The "Absolute Now" of this time traveling device is the time it exists, it opens up a portal to the past, about 2 meters in diameter, but it itself does not go into the past. The portal is two-way, but the other end is at a random spot in time and space at the Earth's surface, the map and the dice to roll to determine location are listed below. The way time paradoxes are handled is that is something threatens to alter history, the portal threatens to close, so if time travelers don't want to get stranded in the past, they try to avoid changing history.
Latitude
Roll d%
01 Between 80 and 90 degrees north
02-03 Between 70 and 80 degrees north
04-07 Between 60 and 70 degrees north
08-12 Between 50 and 60 degrees north
13-18 Between 40 and 50 degrees north
19-25 Between 30 and 40 degrees north
26-33 Between 20 and 30 degrees north
34-41 Between 10 and 20 degrees north
42-50 Between 0 and 10 degrees north
51-59 Between 0 and 10 degrees south
60-67 Between 10 and 20 degrees south
68-75 Between 20 an 30 degrees south
76-82 Between 30 and 40 degrees south
83-88 Between 40 and 50 degrees south
89-93 Between 50 and 60 degrees south
94-97 Between 60 and 70 degrees south
98-99 Between 70 and 80 degrees south
00 Between 80 and 90 degrees south
Then roll a 1d10 interpreting a '10' as a '0' if necessary, and add the result to the lower limit of the latitude range to get the latitude to the nearest number of degrees.
Roll d66 (means roll 2 6-sided dice but don't at them, order matters!
1,1 Between 170 and 180 degrees west
1,2 Between 160 and 170 degrees west
1,3 Between 150 and 160 degrees west
1,4 Between 140 and 150 degrees west
1,5 Between 130 and 140 degrees west
1,6 Between 120 and 130 degrees west
2,1 Between 110 ad 120 degrees west
2,2 Between 100 and 120 degrees west
2,3 Between 90 and 100 degrees west
2,4 Between 80 and 90 degrees west
2,5 Between 70 and 80 degrees west
2,6 Between 60 and 70 degrees west
3,1 Between 50 and 60 degrees west
3,2 Between 40 and 50 degrees west
3,3 Between 30 and 40 degrees west
3,4 Between 20 and 30 degrees west
3,5 Between 10 and 20 degrees west
3,6 Between 0 and 10 degrees west
4,1 Between 0 and 10 degrees east
4,2 Between 10 and 20 degrees east
4,3 Between 20 and 30 degrees east
4,4 Between 30 and 40 degrees east
4,5 Between 40 and 50 degrees east
4,6 Between 50 and 60 degrees east
5,1 Between 60 and 70 degrees east
5,2 Between 70 and 80 degrees east
5,3 Between 80 and 90 degrees east
5,4 Between 90 and 100 degrees east
5,5 Between 100 and 110 degrees east
5,6 Between 110 and 120 degrees east
6,1 Between 120 and 130 degrees east
6,2 Between 130 and 140 degrees east
6,3 Between 140 and 150 degrees east
6,4 Between 150 and 160 degrees east
6,5 Between 160 and 170 degrees east
6,6 Between 170 and 180 degrees east
roll 1d10 add the number to the lower limit of the range of degrees.
For the amount of time displaced in the past
roll 1d12
1 roll 1d20 for the number of days in the past.
2 roll 1d12 x 30 for the number of days in the past
3 roll 1d10 for the number of years in the past
4 roll 1d10 x 10 for the number of years in the past
5 roll 1d20 x 100 for the number of years in the past
6 roll 1d20 x 1000 for the number of years in the past
7 roll 1d20 x 10,000 for the number of years in the past
8 roll 1d20 x 100,000 for the number of years in the past
9 roll 1d20 x 1,000,000 for the number of years in the past
10 roll 1d20 x 10,000,000 for the number of years in the past
11 roll 1d10 x 100,000,000 for the number of years in the past
12 roll 1d4 x 1,000,000,000 for the number of years in the past

Latitude
Roll d%
01 Between 80 and 90 degrees north
02-03 Between 70 and 80 degrees north
04-07 Between 60 and 70 degrees north
08-12 Between 50 and 60 degrees north
13-18 Between 40 and 50 degrees north
19-25 Between 30 and 40 degrees north
26-33 Between 20 and 30 degrees north
34-41 Between 10 and 20 degrees north
42-50 Between 0 and 10 degrees north
51-59 Between 0 and 10 degrees south
60-67 Between 10 and 20 degrees south
68-75 Between 20 an 30 degrees south
76-82 Between 30 and 40 degrees south
83-88 Between 40 and 50 degrees south
89-93 Between 50 and 60 degrees south
94-97 Between 60 and 70 degrees south
98-99 Between 70 and 80 degrees south
00 Between 80 and 90 degrees south
Then roll a 1d10 interpreting a '10' as a '0' if necessary, and add the result to the lower limit of the latitude range to get the latitude to the nearest number of degrees.
Roll d66 (means roll 2 6-sided dice but don't at them, order matters!
1,1 Between 170 and 180 degrees west
1,2 Between 160 and 170 degrees west
1,3 Between 150 and 160 degrees west
1,4 Between 140 and 150 degrees west
1,5 Between 130 and 140 degrees west
1,6 Between 120 and 130 degrees west
2,1 Between 110 ad 120 degrees west
2,2 Between 100 and 120 degrees west
2,3 Between 90 and 100 degrees west
2,4 Between 80 and 90 degrees west
2,5 Between 70 and 80 degrees west
2,6 Between 60 and 70 degrees west
3,1 Between 50 and 60 degrees west
3,2 Between 40 and 50 degrees west
3,3 Between 30 and 40 degrees west
3,4 Between 20 and 30 degrees west
3,5 Between 10 and 20 degrees west
3,6 Between 0 and 10 degrees west
4,1 Between 0 and 10 degrees east
4,2 Between 10 and 20 degrees east
4,3 Between 20 and 30 degrees east
4,4 Between 30 and 40 degrees east
4,5 Between 40 and 50 degrees east
4,6 Between 50 and 60 degrees east
5,1 Between 60 and 70 degrees east
5,2 Between 70 and 80 degrees east
5,3 Between 80 and 90 degrees east
5,4 Between 90 and 100 degrees east
5,5 Between 100 and 110 degrees east
5,6 Between 110 and 120 degrees east
6,1 Between 120 and 130 degrees east
6,2 Between 130 and 140 degrees east
6,3 Between 140 and 150 degrees east
6,4 Between 150 and 160 degrees east
6,5 Between 160 and 170 degrees east
6,6 Between 170 and 180 degrees east
roll 1d10 add the number to the lower limit of the range of degrees.
For the amount of time displaced in the past
roll 1d12
1 roll 1d20 for the number of days in the past.
2 roll 1d12 x 30 for the number of days in the past
3 roll 1d10 for the number of years in the past
4 roll 1d10 x 10 for the number of years in the past
5 roll 1d20 x 100 for the number of years in the past
6 roll 1d20 x 1000 for the number of years in the past
7 roll 1d20 x 10,000 for the number of years in the past
8 roll 1d20 x 100,000 for the number of years in the past
9 roll 1d20 x 1,000,000 for the number of years in the past
10 roll 1d20 x 10,000,000 for the number of years in the past
11 roll 1d10 x 100,000,000 for the number of years in the past
12 roll 1d4 x 1,000,000,000 for the number of years in the past