...
Dr. John Schilling has produced a payload estimation program:
Launch Vehicle Performance Calculator.
http://www.silverbirdastronautics.com/LVperform.html
It gives a range of likely values of the payload. I've found the midpoint of the range it specifies is a reasonably accurate estimate to the actual payload for known rockets.
Input the vacuum values for the thrust in kilonewtons and Isp in seconds. The program takes into account the sea level loss. SpaceX gives the Merlin 1D vacuum thrust as 161,000 lbs and vacuum Isp as 311 s:
FALCON 9 OVERVIEW.
http://www.spacex.com/falcon9.php
For the 9 Merlins this is a thrust of 9*161,000*4.46 = 6,460 kN. Use the default altitude of 185 km and the Cape Canaveral launch site, and a 28.5 degree orbital inclination, to match the Cape's latitude.
Input the dry mass of 13,000 kg and propellant mass of 375,000 kg. Then it gives an estimated 7,564 kg payload mass:
Launch Vehicle: User-Defined Launch Vehicle
Launch Site: Cape Canaveral / KSC
Destination Orbit: 185 x 185 km, 28 deg
Estimated Payload: 7564 kg
95% Confidence Interval: 3766 - 12191 kg
This may be enough to launch the Dragon capsule, depending on the mass of the Launch Abort System(LAS).
Bob Clark
According to this report from 2010, ESA was considering plans to use the Orion on the Ariane 5 to get a European manned spaceflight capability:
French govt study backs Orion Ariane 5 launch.
By Rob Coppinger
on January 8, 2010 4:45 PM
http://www.flightglobal.com/blogs/hyperbola/2010/01/french.html
This would cost several billion dollars to man-rate the Ariane 5. I have to believe the solid rocket boosters, which can not be shut down when started, play a significant role in that high cost.
However, the ESA has now given up on an indigenous manned spaceflight capability because of the estimated billion dollar cost to man-rate the full Ariane 5 system:
WSJ: Europe Ends Independent Pursuit of Manned Space Travel.
"LE BOURGET, France—Europe appears to have abandoned all hope of
independently pursuing human space exploration, even as the region's
politicians and aerospace industry leaders complain about shrinking
U.S. commitment to various space ventures.
"After years of sitting on the fence regarding a separate, pan-
European manned space program, comments by senior government and
industry officials at the Paris Air Show here underscore that budget
pressures and other shifting priorities have effectively killed that
longtime dream."
http://www.orbiter-forum.com/showthread.php?t=23006
In contrast, the Ariane 5 core stage with an added, second Vulcain engine could serve as a SSTO to carry a manned capsule to orbit. JAXA was able to add a second cryogenic engine to their H-IIa rockets first stage, which is about the same size as that of the Ariane 5, for less than a $250 million dollar development cost:
Rocketing to the future.
http://www.gov-online.go.jp/pdf/hlj_ar/vol_0027e/05-07.pdf
Mitsubishi Heavy To Invest In Next-Generation Rocket.
by Staff Writers
Tokyo, Japan (AFX) Jun 14, 2006
http://www.spacedaily.com/reports/Mitsubishi_Heavy_To_Invest_In_Next_Generation_Rocket.html
The $250 million cost number I'm getting from the exchange rate from yen to dollars used in the second article. It is important to note about $50 million of this was used to widen the tanks, which wouldn't be needed in the Ariane 5 case. So we can estimate the development cost without widened tanks as less than $200 million. This is about the amount of the subsidy that the ESA gives to ArianeSpace every year. But this would be for a 4 year development, judging by the JAXA case, so would only be $50 million a year.
In the calculations for this multi-Vulcain Ariane core stage, I used this page for the specifications on the Ariane:
Space Launch Report: Ariane 5 Data Sheet.
http://www.spacelaunchreport.com/ariane5.html#config
For the Vulcain 2 specifications, I've seen different numbers in different sources, though close to each other. I'll use this source:
Vulcain 2.
http://www.astronautix.com/engines/vulcain2.htm
I'll also use the earlier Ariane 5 "G" version that is lighter than the current "E" version to be lofted by two Vulcains without side boosters. According to the SpaceLaunchReport page it had a 170 mT gross mass for the core at a 158 mT propellant load, giving a 12 mT dry mass.
According to the Astronautix page, Vulcain 2 has a 434 s vacuum Isp and 1350 kN vacuum thrust. So two will have a 2700 kN vacuum thrust. The Vulcain's mass is listed as 1,800 kg. So adding another will bring the stage dry mass to 13,800 kg.
Now input this data into Schilling's calculator. Select again default residuals and select "No" for the "Restartable Upper Stage?" option. Select the Kourou launch site for this Ariane 5 core rocket. For the orbital inclination, I input 5.2 degrees. I gather Schilling uses this for Kourou's latitude since deviating from this decreases the payload. I chose also direct ascent for the trajectory.
Then the result I got was 7,456 kg(!) to orbit:
================================
Mission Performance:
Launch Vehicle: User-Defined Launch Vehicle
Launch Site: Guiana Space Center (Kourou)
Destination Orbit: 185 x 185 km, 5 deg
Estimated Payload: 7456 kg
95% Confidence Interval: 4528 - 10898 kg
================================
Interestingly, the payload capability of the Falcon 9 v1.1 first stage and of this two-Vulcain Ariane 5 core stage would be about the same as SSTO's.
Bob Clark