CommNet/de

German - Version 0.1	2019-07-12

Das CommNet ist eine Verstärkungs und Kommunikations System welches zum ersten mal im pre-release KSP 1.2 implementiert wurde. Mit aktiviertem CommNet (einstellbar bei den Schwierigkeiten) haben Antennen eine limitierte Reichweite von welcher man die Kontrolle über Raumschiffe und das Übertragen von Wissenschafts-Daten ermöglichen kann. Schiffe ohne Pilot benötigen zwingend eine solche Verbindung, um die volle Kontrolle zu erlangen. (Geeignete Kontrollquellen sind, Schiffe mit einem eingebauten Probe Control Point oder meistens vorkommend eine direkte Verbindung zum Weltraum Netzwerk von Kerbin) Standorte können entweder über eine direkte Verbindung oder indirekt über ein oder mehrere Relais verbunden sein.

Die folgende Liste zeigt die maximale Reichweite für Schiffe mit einer einzelnen Antenne zum Weltraum Zentrum.

Antennen Type		Kontrollzentrum Stufen (Bewertung)
		1 (2G)	2 (50G)	3 (250G)
5k	Kommando Kapsel (fest eingebaut)	3.16Mm (25% bis zu Mond)	15.81Mm (Mond)	35.36Mm (75% bis zu Minmus)
500k	Communotron 16 / 16-S	31.62Mm (67% bis zu Minmus)	158.11Mm (Kerbin SOI)	353.55Mm (Kerbin SOI)
5M	HG-5 High Gain	100Mm (Minmus)	500Mm (Interplanetar um Kerbin)	1.12Gm (Interplanetar um Kerbin)
2G	DTS-M1 / RA-2	2Gm (Interplanetar um Kerbin)	10Gm (Moho, Eve & Duna wenn nahe)	22.36Gm (Moho immer, Eve, Duna & Dres (kaum) wenn nahe)
15G	HG-55 / RA-15	5.48Gm (Eve wenn nahe)	27.39Gm (Immer Moho & Eve, Duna & Dres wenn nahe)	61.24Gm (Dres, Jool & Eeloo wenn nahe, andere Planeten immer)
100G	Communotron 88-88 / RA-100	14.14Gm (Moho, Eve & Duna wenn nahe)	70.71Gm (Jool & Eeloo wenn nahe, andere Planeten immer)	158.11Gm (Alle Himmelkörper immer)

Distanz Berechnung

Individuelle Schiffe haben keine feste maximale Distanz: ob eine Verbindung zwischen zwei Schiffen mit einem bestimmten Abstand möglich ist, hängt von der Übertragungsstärke der beiden Schiffe ab. Jede Antenne hat ein "Leistungs Bewertung" (siehe obere Tabelle) dies trägt zur Gesamtantennenleistung des Schiffes bei, an dem es befestigt ist. Eine Verbindung zwischen zwei Schiffen kann hergestellt werden, wenn das geometrische Mittel ihrer Nennleistungen größer ist als ihr Abstand, gemessen in Metern. Berechnungen wie folgt:

$Distanz={\sqrt {Schiff_{1}\times Schiff_{2}}}$

Wo:

• $Distanz$ Ist die maximale Distanz in meter, welche zwei Schiffe sich verbinden können.
• $Schiff_{1}$ und $Schiff_{2}$ sind die Leistung Bewertungen für die Schiffe welche sich verbinden wollen.

Leistungs Bewertung für die Antennenreichweite von 5k, bei jeder [Command_module|Kommandokapsel] integriert, bis zu 100G für die grössten Steuerungsversuche. Kerbin's Weltraum Netzwerk kann als Schiff / Objekt mit einer Leistung von 2G / 50G / 250G (kommt auf das Level der Verfolgungsstation an), zur Reichweitenberechnung.

English - Version	2019-07-12

CommNet is a relay and control communication system implemented first in KSP 1.2 pre-release. With CommNet enabled (as a difficulty setting), antennae have limited range from which control and transmission of science data is possible. Vessels without a Pilot require a link to a control source for full control (valid control sources are a vessel with an operational Probe Control Point, or more commonly the Deep Space Network on Kerbin). Locations may be linked either through a direct connection or indirectly via one or more relays.

The following table lists the maximum range for vessels with a single antenna signaling the Deep Space Network:

Antenna Type		Tracking Station Level (Rating)
		1 (2G)	2 (50G)	3 (250G)
5k	Command pods (Built-in)	3.16Mm (25% way to Mun)	15.81Mm (Mun)	35.36Mm (75% way to Minmus)
500k	Communotron 16 / 16-S	31.62Mm (67% way to Minmus)	158.11Mm (Kerbin SOI)	353.55Mm (Kerbin SOI)
5M	HG-5 High Gain	100Mm (Minmus)	500Mm (Interplanetary around Kerbin)	1.12Gm (Interplanetary around Kerbin)
2G	DTS-M1 / RA-2	2Gm (Interplanetary around Kerbin)	10Gm (Moho, Eve & Duna when close)	22.36Gm (Moho always, Eve, Duna & Dres (barely) if close)
15G	HG-55 / RA-15	5.48Gm (Eve when close)	27.39Gm (Always Moho & Eve, Duna & Dres if close)	61.24Gm (Dres, Jool & Eeloo if close, other planets always)
100G	Communotron 88-88 / RA-100	14.14Gm (Moho, Eve & Duna when close)	70.71Gm (Jool & Eeloo if close, other planets always)	158.11Gm (all bodies always)

Range calculation

Individual vessels do not have a fixed maximum range: whether a connection is possible between two vessels that are a given distance apart depends on the transmission strength of the vessels at both ends of the connection. Each antenna has a "power rating", measured as a unitless number, which contributes to the overall power rating of the vessel it is attached to. A connection can be established between two vessels when the geometric mean of their power ratings is greater than their separation as measured in meters. This is calculated as follows:

$Range={\sqrt {Vessel_{1}\times Vessel_{2}}}$

Wo:

• $Range$ is the maximum distance in meters at which two vessels can connect with each other.
• $Vessel_{1}$ and $Vessel_{2}$ are the power ratings for the vessels that are attempting to connect to each other.

Power ratings for antennae range from 5k for the integrated antenna available in every Command module, to 100G for the largest dishes. Kerbin's Deep Space Network can be treated as a vessel with a rating of 2G/50G/250G (depending on the level of the Tracking Station) for the purposes of calculating range.

Combining antennas

When a craft has multiple, combinable antennas, the antenna's power ratings stack in a way that provides diminishing returns using the following formula:

${\text{Vessel Power}}={\text{Strongest Antenna Power}}\times \left({\tfrac {\text{Sum of Antenna Powers}}{\text{Strongest Antenna Power}}}\right)^{\text{Average Combinability Exponent}}$

The vessel's Average Combinability Exponent is the average of the combinability exponent values of all antennas on the vessel, where each antenna is weighted proportionally to its respective power rating. Note that all antennas and relays have a combinability exponent value of 0.75 except for the Communotron 16 and the Communotron 16S, with values of 1.0 and 0.0 respectively. This means that the Average Combinability Exponent will always be 0.75 for a vessel containing neither of these antennae. For vessels with a Communotron 16 or 16S, the Average Combinability Exponent is calculated:

${\text{Average Combinability Exponent}}={\frac {P_{1}C_{1}+P_{2}C_{2}+\cdots +P_{n}C_{n}}{P_{1}+P_{2}+\cdots +P_{n}}}$

Wo:

• $\{P_{1},P_{2},\dots ,P_{n}\}$ are the power ratings of each antenna.
• $\{C_{1},C_{2},\dots ,C_{n}\}$ are the combinability values of each respective antenna.

For example, a vessel with a Communotron 88-88 (100G power, 0.75 combinability) and also a Communotron 16 (500k power, 1.00 combinability) would have the following as its Average Combinability Exponent:

${\frac {(100\times 10^{9})\times 0.75+(500\times 10^{3})\times 1.00}{(100\times 10^{9})+(500\times 10^{3})}}=0.75000125$

Antennae combinability exponent values can be found under "antennaCombinableExponent" in the part configuration files. If the value is missing, the default value of 0.75 is used.

Signal strength

The length of a communication link relative to its maximum range is represented by signal strength. Signal strength for a single-hop link starts at 100% at a distance of zero and decreases as distance increases, down to a signal strength of 0% at the maximum range of the link. The relationship is non-linear: the true value requires plotting the relative distance on a Bezier curve with the keys '0 0 0 0' and '1 1 0 0'. This can be calculated as follows:

• Calculate the relative distance between the vessels (the result should be between 0.0 and 1.0): $1-{\frac {\text{Distance From Link Point}}{\text{Maximum Range}}}$
• Substitute the result above into the Bezier curve equation (cubic derivation): $-2x^{3}+3x^{2}$ or $(3-2x)x^{2}$

The result is the signal strength of the link at the specified distance. Note that the above applies to a single-hop link: if the signal is being bounced through one or more relays, the signal strength is the product of the signal strengths of each link making up the path to the control point.

Example

Calculating the Signal Strength between a Level 3 DSN Tracking Center and a probe around Jool at a distance of 73.4Gm from Kerbin with two Communotron 88-88 antennas:

• Max Power of Lvl 3 DSN connection: $250\,000\,000\,000$

• Max Power of Probe: $100\,000\,000\,000\times \left({\frac {200\,000\,000\,000}{100\,000\,000\,000}}\right)^{0.75}=168\,179\,283\,051$

• Max Range of Connection: ${\sqrt {(2.5\times 10^{11})\times (1.68\times 10^{11})}}=205\,048\,337\,625{\text{m}}$

• Relative distance between Link Points: $1-{\frac {73.4}{205}}=0.642$

• Signal Strength: $(3-2\times 0.642)\times 0.642^{2}=0.707=71\%$

Therefore the signal strength for this connection would be 71%.

Connections through Relays

When considering the antenna power of your vessel, Direct Antennas and Relay Antennas combine to give you a 'Power' to calculate Signal Strength back to the KSC, however, if a different vessel is connecting through you to communicate with the KSC the Direct Antennas are disregarded in any calculations made.

Example

• A vessel with a Communotron 88-88 Direct Antenna and a RA-100 Relay Antenna orbiting around Eeloo at a distance of 105Gm from the KSC, with a Level 3 DSN, will connect back to the KSC with a Signal Strength of 48% as both antennas combine to give an increased antenna 'Power' for its own direct connection.

• A vessel rendezvoused with the above craft with a measly Communotron 16 will have to communicate back to the KSC through the relay as its antenna is not strong enough to communicate with the KSC directly. As this small, probe craft will only consider the RA-100 Relay Antenna on the relay craft when calculating its connection back to the KSC, the power rating of the relay vessel drops and therefore the Signal Strength will drop to 26% (please note the calculations for these numbers have been obfuscated from the example for easy understanding of the concept).

Please keep the above in mind when creating relay vessels for you other craft to connect through in the depth of space.

DSN Strength

Each upgrade of the tracking center improves the strength of Kerbin's terrestrial-based Deep Space Network (DSN). Based on the provided figures, the Level 1 tracking station has an antenna strength of 2G, Level 2 is 50G, and Level 3 is 250G.

Science Transmission

Signal strength has no bearing on transmitting science directly to the KSC, but vessels transmitting through a relay will gain a 40% bonus to the data transmitted (to a maximum of 100% value). For example, a Gravity Scan from low Jool orbit would give 90*0.4=35 Science if transmitted directly, but if bounced through a relay with an overall strength of 100% would give 90*0.4*1.4=50.4 Science. This bonus decreases non-linearly with signal strength.

Difficulty Settings

Range Modifier = The value of this slider is a multiplier value that is applied to the power levels of all Antenna and Relay parts.

DSN Modifier = The value of this slider is a multiplier value that is applied to the power level of the DSN Network.

Tutorials, Calculators and Examples

A Google Sheets document that can help calculate Signal Strength and Ranges for you can be found here: CommNet Signal Strength Calculator & Antenna Selector

Example orbits for setting up a planetary network can be found at: Tutorial:Ideal Orbits for Communication Satellites

One method of setting up a full-system network can be found at Tutorial:Setting up a CommNet system.