I'd second what Mark said with a few additions of my own ( bearing in mind I'm a fell runner, currently researching nutrition for running ultramarathons. I'm not trying to put you off running as such ).
First up forget about running/jogging, at least to start with. When your heart rate goes above 60-70% of maximum you're not burning fat, you're burning glycogen, until you run out of the stuff (round about 30-35km - 20 miles for imperialites) You have to get pretty fit to burn fat at any kind of running pace. Google 'heart rate training' to find out more.
Second, if you want to burn fat, walk a long way at a brisk but not breathless pace. If you want to burn fat off faster, do it when you haven't eaten for a couple of hours. It's called 'fasted training' and it boosts the mitochondrial ability to burn fat in place of carbs. If you're going to do that alone, in wild places, you absolutely MUST carry emergency food. If you start to feel weak, sweaty and cold (runners call it 'bonking' - it won't happen until around 20 miles), you need to eat - the body needs a small amount of carb to be able to burn fat. You might want to talking to your doctor about doing that though - just in case you have any blood sugar issues.
People often think you can't get fit walking. It's simply not true. Yes, ultimately you'll get fitter running, but you'll gain more weight loss benefit by walking, and gain fitness just as quickly right up to the point where running becomes the only way to get any fitter. Rushing at running because you think it's the only way to get fit is the quickest way to get disillusioned or injured.