Macbook Pro powers off when on battery power

Question

Help! My MBP 17" now powers off after a couple of minutes on battery power. When this happens, trying to boot again, the system will power off again while loading the OS. The only way to get the MBP to boot then is to plug in the AC adaptor.
I've reset the SMC and reconditioned the battery. Both the OS and the battery think the battery is fully charged. This didn't happen before upgrading to Leopard.

Answer 1

I believe the color of the magsafe was green and that it wasn't charging. (The MBP thought the battery was at 96%.)
Here's the profile after I got to work and plugged in my magsafe (which is a second magsafe I keep at work), the color is amber:
System Power Settings:
AC Power:
System Sleep Timer (Minutes): 10
Disk Sleep Timer (Minutes): 10
Display Sleep Timer (Minutes): 10
Automatic Restart On Power Loss: No
Wake On AC Change: No
Wake On Clamshell Open: Yes
Wake On LAN: Yes
Display Sleep Uses Dim: Yes
Battery Power:
System Sleep Timer (Minutes): 10
Disk Sleep Timer (Minutes): 10
Display Sleep Timer (Minutes): 2
Wake On AC Change: No
Wake On Clamshell Open: Yes
Display Sleep Uses Dim: Yes
Reduce Brightness: Yes
Hardware Configuration:
UPS Installed: No
AC Charger Information:
Connected: Yes
Charging: Yes
Battery Information:
Model Information:
Manufacturer: SMP
Device name: ASMB014
Pack Lot Code: 0001
PCB Lot Code: 0000
Firmware Version: 0102
Hardware Revision: 0202
Cell Revision: 0100
Charge Information:
Charge remaining (mAh): 5048
Fully charged: No
Charging: Yes
Full charge capacity (mAh): 5472
Health Information:
Cycle count: 97
Battery health: Good
Battery Installed: Yes
Amperage (mA): 469
Voltage (mV): 12390
After charging, the magsafe is green and this is what profiler says:
System Power Settings:
AC Power:
System Sleep Timer (Minutes): 10
Disk Sleep Timer (Minutes): 10
Display Sleep Timer (Minutes): 10
Automatic Restart On Power Loss: No
Wake On AC Change: No
Wake On Clamshell Open: Yes
Wake On LAN: Yes
Display Sleep Uses Dim: Yes
Battery Power:
System Sleep Timer (Minutes): 10
Disk Sleep Timer (Minutes): 10
Display Sleep Timer (Minutes): 2
Wake On AC Change: No
Wake On Clamshell Open: Yes
Display Sleep Uses Dim: Yes
Reduce Brightness: Yes
Hardware Configuration:
UPS Installed: No
AC Charger Information:
Connected: Yes
Charging: No
Battery Information:
Model Information:
Manufacturer: SMP
Device name: ASMB014
Pack Lot Code: 0001
PCB Lot Code: 0000
Firmware Version: 0102
Hardware Revision: 0202
Cell Revision: 0100
Charge Information:
Charge remaining (mAh): 5472
Fully charged: Yes
Charging: No
Full charge capacity (mAh): 5472
Health Information:
Cycle count: 97
Battery health: Good
Battery Installed: Yes
Amperage (mA): 200
Voltage (mV): 12368