I don't mean to piss in anyones Wheaties, but I too would strongly advise against a visit to LAX during the summer months. With the high sun angle during most of the day, you're only going to get about 3 hours in the morning and 3 hours in the evening to shoot. That's assuming the clouds don't get you. You also have to consider that unless you are standing right next to an aircraft, your photos of taxiing aircraft or aircraft on the ground will be distorted from the heat radiating from the concrete. That leaves you with with shooting approach shots...then you'll see how beautiful the haze and smog look at the bottom of your pictures. Most of your photos will have a nasty, brown bottom to them. Finally, one of the best photo spots around the airport is a terrible spot in the summer (I'm referring the big cargo lot). That leaves you with the TWA lot and maybe the holding pen (assuming you don't get kicked out of there which they are starting to do with increasing frequency) to shoot at. Those are not the best spots. They're good, but not great.
Just wait until the winter so you have all day to shoot, you don't have to deal with as much smog, the heat won't cause as many problems, and you can take advantage of the best spot at LAX. I'm not saying you can't get good photos in the summer time, but you will have a lot of things that will conspire against you in getting quality photos.
A noble spirit embiggens the smallest man...