After the launch of Fermi LAT, the research of blazars get in a new age. Atthe same time， many other telescope with different wavelengths also provide alot of data for blazars with gamma ray. All this let us get a further research aboutthe fundamental plane of blazars and also get a further understanding about theradiation process, jet and the oretical models of blazars. The main work of thisacademic dissertation is the fundamental plan fundamental plane are in chapter 1.In Chapter 2, we have collected a lot of different types blazars’s sample withthepeak luminosity and the corresponding CCD metering peak frequency to doourfundamental plane study from Fermi LAT. Meanwhile we also have collectedtwo kind of sample for GRBs which include the data for long GRBs and shortGRBs. We do the fundamental plane analysis between this two objects to findanycommon or different results comparing with others. The main results we getfrom our study are as follows: (i)There is a fundamental plane for GRBs andblazars between the peak luminosity and the peak frequency for our sample .(ii) The fundamental planes till exists even after correcting the peak luminositywith opening angle or beaming factor.In Chapter 3, we collected the sample of radiatively efficient blazars andradiatively efficient X-ray bursters (XRBs) to do the fundamental plane analysis.The main results of our study areas follows: (i) There is a fundamental plane forradiatively efficient blazars. (ii) This slop of fundamental plane is steeper comparedwith that of radiatively inefficient AGNs and XRBs. (iii) This fundamentalplane also exist after correcting the radio luminosity and X-ray luminosity withopening angle or beaming factor.The main topic of this dissertation is the research of fundamental plane forblazars. My main works of the fundamentalplane for blazars are in Chapter 2 andChapter 3. My two main results as follows：(1)There is a fundamental plane inpeakluminosity and peak between the Fermi balazars and Gamma bursters. Thismeansthat these blazars and GRBs may have similar radiation process in the synchrotronradiation; (2)the radiatively efficientblazrs may have a new fundamentalplane whichis diferent with the fundamental plane between the radiatively efficient AGNs andXRBs.
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