Difference between revisions of "Moon"

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There is almost always a greater chance that the Zeus will be destroyed than the moon. However, take for example a diameter 8944 moon being attacked by 100 Zeus. There is a 54.27% chance that the moon will be destroyed and a 47.29% chance the Zeus will be destroyed. Additionally, any number of Zeus greater than 277 causes a claimed chance greater than 100% of moon destruction.
+
There is almost always a greater chance that a fleet with a single Zeus will be destroyed than the moon.
 +
Adding Zeus raises the probability that the moon will be destroyed, up to 100%.
 +
However, assuming defending units on a moon can be defeated by a single Zeus and there is no limit on the number of attempts that can be made, adding additional Zeus per attempt increase the expected cost of moon destruction.
 +
 
 +
 
 +
In the following table
 +
*Moon Sizes are selected from the outside (left and lower) edges of the above moon size table.  These values are generally repeated several times in the interior as well.
 +
*The Chance of Fleet Destruction is the chance that the fleet is destroyed in a particular attempt, as given in the above formula. It is independent of fleet composition.
 +
*The Expected Attempts for Single Zeus is the expected (average) number of times a single Zeus would have to attempt moon destruction before the moon is destroyed. It is simply the inverse of the above chance to destroy moon with ''Zeus'' = 1.
 +
*The Expected Zeus Lost Using Single Zeus is the product of the previous two columns, multiplying the expected number of attempts by the probability that the Zeus will be lost in each attempt.
 +
*Zeus required for Certainty is <big>⌈</big>(100<big>∕</big>(100 − (''MoonSize'')<sup>½</sup>))<sup>2</sup><big>⌉</big>, the number of Zeus required for the chance to destroy moon to meet or exceed 100%.
 +
*Expected Zeus Lost at Certainty is the product of the second and fifth columns, multiplying the chance of fleet loss by the number of Zeus in a fleet that has 100% chance of destroying a moon of that size.
 +
 
 +
 
 +
{|class="wikitable" border="1"
 +
|+ Expected Cost of Moon Destruction
 +
!|Moon Size (selected)
 +
!|Chance of Fleet Destruction
 +
!|Expected Attempts for Single Zeus
 +
!|Expected Zeus Lost Using Single Zeus
 +
!|Zeus Required for Certainty
 +
!|Expected Zeus Lost at Certainty
 +
|- align="center"
 +
|3605||30.0%||2.5||0.75||7||2.1
 +
|- align="center"
 +
|4000||31.6%||2.7||0.86||8||2.5
 +
|- align="center"
 +
|4358||33.0%||2.9||0.97||9||3.0
 +
|- align="center"
 +
|4690||34.2%||3.2||1.09||11||3.8
 +
|- align="center"
 +
|5000||35.4%||3.4||1.21||12||4.2
 +
|- align="center"
 +
|5291||36.4%||3.7||1.33||14||5.1
 +
|- align="center"
 +
|5567||37.3%||3.9||1.47||16||6.0
 +
|- align="center"
 +
|5830||38.2%||4.2||1.61||18||6.9
 +
|- align="center"
 +
|6082||39.0%||4.5||1.77||21||8.2
 +
|- align="center"
 +
|6324||39.8%||4.9||1.94||24||9.5
 +
|- align="center"
 +
|6557||40.5%||5.3||2.13||28||11.3
 +
|- align="center"
 +
|6782||41.2%||5.7||2.33||33||13.6
 +
|- align="center"
 +
|7000||41.8%||6.1||2.56||38||15.9
 +
|- align="center"
 +
|7211||42.5%||6.6||2.82||44||18.7
 +
|- align="center"
 +
|7416||43.1%||7.2||3.10||52||22.4
 +
|- align="center"
 +
|7615||43.6%||7.9||3.43||62||27.1
 +
|- align="center"
 +
|7810||44.2%||8.6||3.80||74||32.7
 +
|- align="center"
 +
|8000||44.7%||9.5||4.24||90||40.2
 +
|- align="center"
 +
|8185||45.2%||10.5||4.75||111||50.2
 +
|- align="center"
 +
|8366||45.7%||11.7||5.36||138||63.1
 +
|- align="center"
 +
|8426||45.9%||12.2||5.59||149||68.4
 +
|- align="center"
 +
|8485||46.1%||12.7||5.84||161||74.2
 +
|- align="center"
 +
|8544||46.2%||13.2||6.11||175||80.9
 +
|- align="center"
 +
|8602||46.4%||13.8||6.39||191||88.6
 +
|- align="center"
 +
|8660||46.5%||14.4||6.70||208||96.8
 +
|- align="center"
 +
|8717||46.7%||15.1||7.04||228||106.4
 +
|- align="center"
 +
|8774||46.8%||15.8||7.40||250||117.1
 +
|- align="center"
 +
|8831||47.0%||16.6||7.80||276||129.7
 +
|- align="center"
 +
|8888||47.1%||17.5||8.24||306||144.2
 +
|- align="center"
 +
|8944||47.3%||18.4||8.71||340||160.8
 +
|}
  
 
==See Also==
 
==See Also==

Revision as of 19:35, 24 July 2012

Shortcut:
M
Moon.png

A moon is a celestial body that can be found in orbit around an inhabited planet. It is the home of several specialty buildings, and can be used in many similar ways to a colonized planet. It disappears upon abandoning a planet, or when a colony is removed for inactivity.

Evaluation

Advantages

Disadvantages

  • Mines cannot be built.
  • Missions cannot be operated from the Moon.
  • Ships parked on a Moon are NOT hidden from view by probes.
  • Workers cannot be transported to, built on, or used on a Moon.


Special Note

  • Debris caused by a battle taking place at a Moon, will be found adjacent to the associated planet, not the Moon itself.

Appearance

Moon appearance on the galaxy screen.

Moons appear as a blank spot in the number sequence from the galaxy view.

Formation

Moons can only be formed from the debris of large battles. For every 150,000 debris produced in a battle, there is a 1% chance that a moon will coalesce. The maximum chance of moon accretion is 20% (3,000,000 debris).

The calculation is performed on a per-battle basis; any debris in orbit at the time of a battle is not included in determining if a moon is formed.

Because the moon is the result of battle, the defending planet is the owner of any moon that is formed. Moon creation is immediate after the battle, and does not consume the debris field; therefore, collecting the debris field will not interfere with the process.

Moons generate with exactly 1 (one) building field, which must be used for a Lunar Base Level 1.

Buildings

The following are the ONLY building types available on a Moon.

  • Lunar Base is required in order to build other structures on a moon. Each level provides three additional building fields on the moon, but occupies one, leaving a surplus of two available building fields.
  • Oracle can only be built on a moon. It is a long range telescope that is capable of detecting most fleet movements.
  • Warp Gate can only be built on a moon. When you have more than one, it allows for the owner to instantly transfer ships between warp gates.
  • Shipyard works like a shipyard on a planet. Building one allows you to build ships and defenses.
  • Capitol works like a capitol on a planet.

Note that the moon is considered a separate entity from the planet it orbits. Any shipyards, planetary defenses, and capitols built on one do not affect build times and defensive capacities of the other. Anti-ballistic Missiles built on a planet do protect its moon.

At any time, should you have used all current building fields, you will receive the following warning on the moon's Buildings page:
All fields on the moon have been used up. If you wish to continue building, you will have to tear down one building's level and then upgrade the Lunar Base to gain more fields.

Obtaining

Ships per 150,000 debris and corresponding chance of moon formation.

Ship 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%
Hermes Class 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 5500 6000 6500 7000 7500 8000 8500 9000 9500 10000
Helios Class 250 500 750 1000 1250 1500 1750 2000 2250 2500 2750 3000 3250 3500 3750 4000 4250 4500 4750 5000
Atlas Class 125 250 375 500 625 750 875 1000 1125 1250 1375 1500 1625 1750 1875 2000 2125 2250 2375 2500
Hercules Class 42 84 126 168 210 252 294 336 378 420 462 504 546 588 630 672 714 756 798 840
Artemis Class 125 250 375 500 625 750 875 1000 1125 1250 1375 1500 1625 1750 1875 2000 2125 2250 2375 2500
Apollo Class 59 118 177 263 295 354 413 472 531 590 649 708 767 826 885 944 1003 1062 1121 1180
Charon Class 63 126 189 252 315 378 441 504 567 630 693 756 819 882 945 1008 1071 1134 1197 1260
Dionysus Class 32 64 96 128 160 192 224 256 288 320 352 384 416 448 480 512 544 576 608 640
Poseidon Class 19 38 57 76 95 114 133 152 171 190 209 228 247 266 285 304 323 342 361 380
Gaia Class 17 34 51 68 85 102 119 136 153 170 187 204 221 238 255 272 289 306 323 340
Athena Class 9 18 27 36 45 54 63 72 81 90 99 108 117 126 135 144 153 162 171 180
Ares Class 7 14 21 28 35 42 49 56 63 70 77 84 91 98 105 112 119 126 133 140
Hades Class 8 16 24 32 40 48 56 64 72 80 88 96 104 112 120 128 136 144 152 160
Prometheus Class 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Zeus Class 1 2
Hephaestus Class 1
  • NOTE: The rightmost columns project the rounding from the 1% value and so overstate the requirement slightly (8.3 Athena for 1% is indeed 9, but at 20% the correct answer is 167 not 180)

Probability

The probability of getting a moon is always a maximum of 20% on any given chance. The more attempts you make however, the greater the likelihood you will succeed in creating a moon. Unfortunately five 20% attempts will not guarantee you a moon; the odds of probability are closer to 67%. The same can be said with 21 20% attempts. Even though the odds of probability state you have a 99% chance of gaining a moon, every attempt still has a 20% chance of creating a moon. Using a lunar commander will double the base percentage chance of a moon forming.

Keep in mind that the chance is always random. The game doesn't keep track and calculate how many attempts you've made in the past. Below is a chart that outlines the probability.


Probability of gaining a moon on 'n' attempts
Number of
attempts
Percent Chance of
gaining a moon with 20% attempts
Percent Chance of
not gaining a moon with 20% attempts
Percent Chance of
gaining a moon with 10% attempts
1 20 80 10
2 36 64 19
3 49 51 27.1
4 59 41 34.39
5 67.23 32.77 40.95
6 73.79 26.21 46.86
7 79.03 20.97 52.17
8 83.22 16.78 56.95
9 86.58 13.42 61.26
10 89.26 10.74 65.13
11 91.41 8.59 68.62
12 93.13 6.87 71.76
13 94.50 5.50 74.58
14 95.60 4.40 77.12
15 96.48 3.52 79.41
16 97.19 2.81 81.47
17 97.75 2.25 83.32
18 98.20 1.80 84.99
19 98.56 1.44 86.49
20 98.85 1.15 87.84
21 99.08 0.92 89.06
35 99.96 0.041 97.5
n ( 1 - (0.8)n ) * 100 (0.8)n * 100 ( 1 - (0.9)n ) * 100

Moon Size

In Starfleet Commander Nova, moons are assigned a size at the time of formation based on the size of the debris which created it.

Moonsize Diameter:
= FLOOR ( (x + 3 * Base Moon Percentage Chance ) ^ 0,5 * 1000 )

x is a number between 10-20 (10 <= x <= 20) where all x are equally likely to occur

The minimum diameter is 3,605 and the maximum diameter is 8,944. You should always seek the largest possible moon, so it will not be easily destroyed. At the highest probability of 20% moon formation a moon always receives a diameter of at least 8,366.

Moon Size Statistics
Moon Chance Average Size
Minimum
Possible lunar sizes
Maximum
1 % 4,225    3,605    3,741    3,872    4,000    4,123    4,242    4,358    4,472    4,582    4,690    4,795   
2 % 4,569    4,000    4,123    4,242    4,358    4,472    4,582    4,690    4,795    4,898    5,000    5,099   
3 % 4,888    4,358    4,472    4,582    4,690    4,795    4,898    5,000    5,099    5,196    5,291    5,385   
4 % 5,187    4,690    4,795    4,898    5,000    5,099    5,196    5,291    5,385    5,477    5,567    5,656   
5 % 5,469    5,000    5,099    5,196    5,291    5,385    5,477    5,567    5,656    5,744    5,830    5,916   
6 % 5,737    5,291    5,385    5,477    5,567    5,656    5,744    5,830    5,916    6,000    6,082    6,164   
7 % 5,994    5,567    5,656    5,744    5,830    5,916    6,000    6,082    6,164    6,244    6,324    6,403   
8 % 6,239    5,830    5,916    6,000    6,082    6,164    6,244    6,324    6,403    6,480    6,557    6,633   
9 % 6,476    6,082    6,164    6,244    6,324    6,403    6,480    6,557    6,633    6,708    6,782    6,855   
10 % 6,704    6,324    6,403    6,480    6,557    6,633    6,708    6,782    6,855    6,928    7,000    7,071   
11 % 6,924    6,557    6,633    6,708    6,782    6,855    6,928    7,000    7,071    7,141    7,211    7,280   
12 % 7,138    6,782    6,855    6,928    7,000    7,071    7,141    7,211    7,280    7,348    7,416    7,483   
13 % 7,345    7,000    7,071    7,141    7,211    7,280    7,348    7,416    7,483    7,549    7,615    7,681   
14 % 7,547    7,211    7,280    7,348    7,416    7,483    7,549    7,615    7,681    7,745    7,810    7,874   
15 % 7,743    7,416    7,483    7,549    7,615    7,681    7,745    7,810    7,874    7,937    8,000    8,062   
16 % 7,934    7,615    7,681    7,745    7,810    7,874    7,937    8,000    8,062    8,124    8,185    8,246   
17 % 8,121    7,810    7,874    7,937    8,000    8,062    8,124    8,185    8,246    8,306    8,366    8,426   
18 % 8,304    8,000    8,062    8,124    8,185    8,246    8,306    8,366    8,426    8,485    8,544    8,602   
19 % 8,483    8,185    8,246    8,306    8,366    8,426    8,485    8,544    8,602    8,660    8,717    8,774   
20 % 8,658    8,366    8,426    8,485    8,544    8,602    8,660    8,717    8,774    8,831    8,888    8,944   

The Moon Chance portion of the formula for moon size does NOT take into consideration the lunar architect.

Moon Destruction

In Starfleet Commander Nova a moon can be destroyed by a fleet of Zeus. Before Zeus can destroy a moon, they must defeat all fleets and defenses on the moon. There are 4 possible outcomes for a moon destruction mission:

  1. Moon survives, Fleet survives
  2. Moon survives, Fleet is destroyed
  3. Moon is destroyed, Fleet is destroyed
  4. Moon is destroyed, Fleet survives

If the fleet is destroyed a debris field is created but there is no moon formation chance. If the moon is destroyed all fleet tasks from it will be diverted to the planet.


Formulas for Destruction

Chance to destroy moon (in percentage)= Moondestroyformula.png


Chance the Fleet is destroyed (in percentage)= Fleetdestroyformula.png


There is almost always a greater chance that a fleet with a single Zeus will be destroyed than the moon. Adding Zeus raises the probability that the moon will be destroyed, up to 100%. However, assuming defending units on a moon can be defeated by a single Zeus and there is no limit on the number of attempts that can be made, adding additional Zeus per attempt increase the expected cost of moon destruction.


In the following table

  • Moon Sizes are selected from the outside (left and lower) edges of the above moon size table. These values are generally repeated several times in the interior as well.
  • The Chance of Fleet Destruction is the chance that the fleet is destroyed in a particular attempt, as given in the above formula. It is independent of fleet composition.
  • The Expected Attempts for Single Zeus is the expected (average) number of times a single Zeus would have to attempt moon destruction before the moon is destroyed. It is simply the inverse of the above chance to destroy moon with Zeus = 1.
  • The Expected Zeus Lost Using Single Zeus is the product of the previous two columns, multiplying the expected number of attempts by the probability that the Zeus will be lost in each attempt.
  • Zeus required for Certainty is (100(100 − (MoonSize)½))2, the number of Zeus required for the chance to destroy moon to meet or exceed 100%.
  • Expected Zeus Lost at Certainty is the product of the second and fifth columns, multiplying the chance of fleet loss by the number of Zeus in a fleet that has 100% chance of destroying a moon of that size.


Expected Cost of Moon Destruction
Moon Size (selected) Chance of Fleet Destruction Expected Attempts for Single Zeus Expected Zeus Lost Using Single Zeus Zeus Required for Certainty Expected Zeus Lost at Certainty
3605 30.0% 2.5 0.75 7 2.1
4000 31.6% 2.7 0.86 8 2.5
4358 33.0% 2.9 0.97 9 3.0
4690 34.2% 3.2 1.09 11 3.8
5000 35.4% 3.4 1.21 12 4.2
5291 36.4% 3.7 1.33 14 5.1
5567 37.3% 3.9 1.47 16 6.0
5830 38.2% 4.2 1.61 18 6.9
6082 39.0% 4.5 1.77 21 8.2
6324 39.8% 4.9 1.94 24 9.5
6557 40.5% 5.3 2.13 28 11.3
6782 41.2% 5.7 2.33 33 13.6
7000 41.8% 6.1 2.56 38 15.9
7211 42.5% 6.6 2.82 44 18.7
7416 43.1% 7.2 3.10 52 22.4
7615 43.6% 7.9 3.43 62 27.1
7810 44.2% 8.6 3.80 74 32.7
8000 44.7% 9.5 4.24 90 40.2
8185 45.2% 10.5 4.75 111 50.2
8366 45.7% 11.7 5.36 138 63.1
8426 45.9% 12.2 5.59 149 68.4
8485 46.1% 12.7 5.84 161 74.2
8544 46.2% 13.2 6.11 175 80.9
8602 46.4% 13.8 6.39 191 88.6
8660 46.5% 14.4 6.70 208 96.8
8717 46.7% 15.1 7.04 228 106.4
8774 46.8% 15.8 7.40 250 117.1
8831 47.0% 16.6 7.80 276 129.7
8888 47.1% 17.5 8.24 306 144.2
8944 47.3% 18.4 8.71 340 160.8

See Also