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If you can afford a better battery grip, you might want to consider the CGPro Battery Grip for Panasonic GH2 Built-in 5000mAh Li-ion Rechargeable Battery. Cheers. :)

Looks like you are in luck.  You might want to order a CGPro Battery Grip for GH2. Link below.  Good luck. Features: • Compatible with Panasonic LUMIX DMC-GH2
 • Extended run-time up to 7-9 hours.
 • Built-in Ultra High Capacity 5000mAh Li-ion Rechargeable Battery • Non-memory effect for maximum performance • 4 level LED indicator for a quick check of remaining battery capacity. Package includes: 1x CGPro Battery Grip Built-in 5000mAh Li-ion Rechargeable Battery 1x Charger http://www.cinegearpro.com/hdmi-cables/power-batteries/cgpro-5000mah-li-ion-rechargeable-battery-grip-for-panasonic-lumix-dmc-gh2.html