The best times to visit Petra, be during the months of autumn and spring, when the atmosphere nice all day and even in the evening, in the summer temperatures are very high and even 38 degrees Celsius, and in winter go down to zero sometimes.
The city of Petra south of Jordan, located 225 kilometers from Amman city and 125 km from Aqaba, so if you are coming from Amman or Aqaba, you can ride a taxi, but the bus algete normal or that include guided tours of politicians be less expensive, and buses connecting cities of Amman and Aqaba via the desert highway and through the city of Wadi Musa, center of the brigade to Petra.
The cheapest way to reach Petra is a small bus or mines, covering all the general lines of Amman and Aqaba and, after reaching the bus stop you can ride a taxi to the visitor center ATR.
You can reach the archaeological site of Petra on foot from the Wadi Musa area where hotels and Resorts, so that the distance of about an hour of walking through the most important monuments of the site, it is called the way of "legs".
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https://goo.gl/hQSGgk