diff --git a/recipes/cfitsio/all/conandata.yml b/recipes/cfitsio/all/conandata.yml
index 6b0480fb20585..63cc622faf8bc 100644
--- a/recipes/cfitsio/all/conandata.yml
+++ b/recipes/cfitsio/all/conandata.yml
@@ -1,4 +1,7 @@
 sources:
+  "4.4.0":
+    url: "https://heasarc.gsfc.nasa.gov/FTP/software/fitsio/c/cfitsio-4.4.0.tar.gz"
+    sha256: "c42bd609151c0b0d7c4f3578d425ae7aaa9afa4828cab35c0accea588e290c29"
   "4.3.1":
     url: "https://heasarc.gsfc.nasa.gov/FTP/software/fitsio/c/cfitsio-4.3.1.tar.gz"
     sha256: "2332b965d327a15c103a7d31d6d1afaf775d00e9785dd25332ae76b9725351e4"
@@ -17,13 +20,10 @@ sources:
   "3.490":
     url: "https://heasarc.gsfc.nasa.gov/FTP/software/fitsio/c/cfitsio-3.49.tar.gz"
     sha256: "8cc4beddd0ff389fb81bde9c181e0e3c419c15ec8a66df201ff4619a93715558"
-  "3.480":
-    url: "https://heasarc.gsfc.nasa.gov/FTP/software/fitsio/c/cfitsio-3.48.tar.gz"
-    sha256: "fc369363616753fa4dbe9bf28fa7e49cc1b057081229d89b52087d85ef303314"
-  "3.470":
-    url: "https://heasarc.gsfc.nasa.gov/FTP/software/fitsio/c/cfitsio-3.47.tar.gz"
-    sha256: "985606e058403c073a68d95be74e9696f0ded9414520784457a1d4cba8cca7e2"
 patches:
+  "4.4.0":
+    - patch_file: "patches/windows-use-strtok_s.patch"
+    - patch_file: "patches/fix-cmake-4.2.0.patch"
   "4.3.1":
     - patch_file: "patches/windows-use-strtok_s.patch"
     - patch_file: "patches/fix-cmake-4.2.0.patch"
@@ -42,9 +42,3 @@ patches:
   "3.490":
     - patch_file: "patches/windows-use-strtok_s.patch"
     - patch_file: "patches/fix-cmake-3.490.patch"
-  "3.480":
-    - patch_file: "patches/windows-use-strtok_s.patch"
-    - patch_file: "patches/fix-cmake-3.470.patch"
-  "3.470":
-    - patch_file: "patches/windows-use-strtok_s.patch"
-    - patch_file: "patches/fix-cmake-3.470.patch"
diff --git a/recipes/cfitsio/all/conanfile.py b/recipes/cfitsio/all/conanfile.py
index 782f21cb2a73b..e2f5688059f62 100644
--- a/recipes/cfitsio/all/conanfile.py
+++ b/recipes/cfitsio/all/conanfile.py
@@ -1,9 +1,10 @@
+import glob
+import os
+
 from conan import ConanFile
 from conan.tools.cmake import CMake, CMakeDeps, CMakeToolchain, cmake_layout
 from conan.tools.files import apply_conandata_patches, copy, export_conandata_patches, get, rmdir
 from conan.tools.scm import Version
-import glob
-import os
 
 required_conan_version = ">=1.54.0"
 
@@ -12,7 +13,7 @@ class CfitsioConan(ConanFile):
     name = "cfitsio"
     description = "C library for reading and writing data files in FITS " \
                   "(Flexible Image Transport System) data format"
-    license = "CFITSIO"
+    license = ("CFITSIO", "NASA-1.3")
     topics = ("fits", "image", "nasa", "astronomy", "astrophysics", "space")
     homepage = "https://heasarc.gsfc.nasa.gov/fitsio/"
     url = "https://github.com/conan-io/conan-center-index"
@@ -104,7 +105,11 @@ def build(self):
         cmake.build()
 
     def package(self):
-        copy(self, "License.txt", src=self.source_folder, dst=os.path.join(self.package_folder, "licenses"))
+        if Version(self.version) >= "4.4.0":
+            copy(self, "NASA*", src=os.path.join(self.source_folder, "licenses"),
+                 dst=os.path.join(self.package_folder, "licenses"))
+        else:
+            copy(self, "License.txt", src=self.source_folder, dst=os.path.join(self.package_folder, "licenses"))
         cmake = CMake(self)
         cmake.install()
         rmdir(self, os.path.join(self.package_folder, "lib", "pkgconfig"))
diff --git a/recipes/cfitsio/all/patches/fix-cmake-3.470.patch b/recipes/cfitsio/all/patches/fix-cmake-3.470.patch
deleted file mode 100644
index 46df9c1140c70..0000000000000
--- a/recipes/cfitsio/all/patches/fix-cmake-3.470.patch
+++ /dev/null
@@ -1,223 +0,0 @@
---- a/CMakeLists.txt
-+++ b/CMakeLists.txt
-@@ -3,8 +3,8 @@
- # Suppress warning about WIN32 no longer being defined on Cygwin:
- SET(CMAKE_LEGACY_CYGWIN_WIN32 0)
- 
-+CMAKE_MINIMUM_REQUIRED(VERSION 3.1)
- PROJECT(CFITSIO)
--CMAKE_MINIMUM_REQUIRED(VERSION 2.8.0)
- 
- # Allow @rpath token in target install name on Macs.
- # See "cmake --help-policy CMP0042" for more information.
-@@ -12,12 +12,14 @@ IF(POLICY CMP0042)
-   CMAKE_POLICY(SET CMP0042 NEW)
- ENDIF()
- 
--INCLUDE (${CMAKE_ROOT}/Modules/CheckLibraryExists.cmake)
--INCLUDE (${CMAKE_ROOT}/Modules/CheckFunctionExists.cmake)
-+INCLUDE(CheckSymbolExists)
-+INCLUDE(CheckCSourceCompiles)
- 
- # Allow the developer to select if Dynamic or Static libraries are built
- OPTION (BUILD_SHARED_LIBS "Build Shared Libraries" ON)
- OPTION (USE_PTHREADS "Thread-safe build (using pthreads)" OFF)
-+OPTION(CFITSIO_USE_SSE2 "Enable use of instructions in the SSE2 extended instruction set" OFF)
-+OPTION(CFITSIO_USE_SSSE3 "Enable use of instructions in the SSSE3 extended instruction set" OFF)
- 
- set(CMAKE_MODULE_PATH ${CMAKE_MODULE_PATH} "${CMAKE_SOURCE_DIR}")
- set (LIB_DESTINATION "${CMAKE_INSTALL_PREFIX}/lib${LIB_SUFFIX}")
-@@ -55,12 +57,19 @@ IF (BUILD_SHARED_LIBS)
- ENDIF (BUILD_SHARED_LIBS)
- 
- 
--FILE(GLOB H_FILES "*.h")
-+SET(H_FILES fitsio.h fitsio2.h longnam.h)
-+SET(LINK_LIBS "")
- 
- IF (USE_PTHREADS)
--    FIND_PACKAGE(pthreads REQUIRED)
--    INCLUDE_DIRECTORIES(${PTHREADS_INCLUDE_DIR})
--    ADD_DEFINITIONS(-D_REENTRANT)
-+    SET(CMAKE_THREAD_PREFER_PTHREAD TRUE)
-+    SET(THREADS_PREFER_PTHREAD_FLAG TRUE)
-+    FIND_PACKAGE(Threads REQUIRED)
-+    IF(CMAKE_USE_PTHREADS_INIT)
-+        LIST(APPEND LINK_LIBS "Threads::Threads")
-+    ELSE()
-+        find_package(pthreads4w REQUIRED CONFIG)
-+        LIST(APPEND LINK_LIBS "pthreads4w::pthreads4w")
-+    ENDIF()
- ENDIF()
- 
- # Math library (not available in MSVC or MINGW)
-@@ -71,35 +80,36 @@ ELSE()
- ENDIF()
- 
- # Support for remote file drivers is not implemented for native Windows:
--IF (NOT MSVC)
-+IF (NOT WIN32)
-     # Find library needed for gethostbyname:
--    CHECK_FUNCTION_EXISTS("gethostbyname" CMAKE_HAVE_GETHOSTBYNAME)
--    IF(NOT CMAKE_HAVE_GETHOSTBYNAME)
--       CHECK_LIBRARY_EXISTS("nsl" "gethostbyname" "" CMAKE_HAVE_GETHOSTBYNAME)
--    ENDIF()
-+    CHECK_SYMBOL_EXISTS(gethostbyname "netdb.h" CMAKE_HAVE_GETHOSTBYNAME)
- 
-     # Find library needed for connect:
--    CHECK_FUNCTION_EXISTS("connect" CMAKE_HAVE_CONNECT)
--    IF(NOT CMAKE_HAVE_CONNECT)
--       CHECK_LIBRARY_EXISTS("socket" "connect" "" CMAKE_HAVE_CONNECT)
--    ENDIF()
-+    CHECK_SYMBOL_EXISTS(connect "sys/types.h;sys/socket.h" CMAKE_HAVE_CONNECT)
- 
-     # Define HAVE_NET_SERVICES if gethostbyname & connect were found:
-     IF (CMAKE_HAVE_GETHOSTBYNAME AND CMAKE_HAVE_CONNECT)
-         ADD_DEFINITIONS(-DHAVE_NET_SERVICES)
-+        CHECK_SYMBOL_EXISTS(fmemopen "stdio.h" HAVE_FMEMOPEN)
-+        IF(HAVE_FMEMOPEN)
-+            ADD_DEFINITIONS(-DHAVE_FMEMOPEN)
-+        ENDIF()
-     ENDIF ()
- 
-     # Find curl library, for HTTPS support:
--    FIND_PACKAGE(CURL)
--    IF (CURL_FOUND)
--        INCLUDE_DIRECTORIES(${CURL_INCLUDE_DIR})
--        ADD_DEFINITIONS(-DCFITSIO_HAVE_CURL)
-+    OPTION(UseCurl "UseCurl" ON)
-+    IF (UseCurl)
-+        FIND_PACKAGE(CURL)
-+        IF (CURL_FOUND)
-+            LIST(APPEND LINK_LIBS "CURL::libcurl")
-+            ADD_DEFINITIONS(-DCFITSIO_HAVE_CURL)
-+        ENDIF()
-     ENDIF()
- ENDIF()
- 
- SET(SRC_FILES
-     buffers.c cfileio.c checksum.c
--    drvrfile.c drvrmem.c drvrnet.c
-+    drvrfile.c drvrmem.c drvrnet.c drvrsmem.c
-     editcol.c edithdu.c eval_f.c eval_l.c eval_y.c
-     f77_wrap1.c f77_wrap2.c f77_wrap3.c f77_wrap4.c
-     fits_hcompress.c fits_hdecompress.c fitscore.c
-@@ -123,27 +133,99 @@ SET(SRC_FILES
- 
- # Only include zlib source files if we are building a shared library.
- # Users will need to link their executable with zlib independently.
--IF (BUILD_SHARED_LIBS)
--    set(SRC_FILES ${SRC_FILES}
--        zlib/adler32.c zlib/crc32.c zlib/deflate.c zlib/infback.c
--        zlib/inffast.c zlib/inflate.c zlib/inftrees.c zlib/trees.c
--        zlib/uncompr.c zlib/zutil.c
--        )
-+find_package(ZLIB REQUIRED)
-+LIST(APPEND LINK_LIBS "ZLIB::ZLIB")
-+
-+IF(CFITSIO_USE_SSE2)
-+    IF("${CMAKE_CXX_COMPILER_ID}" STREQUAL "GNU" OR
-+       "${CMAKE_CXX_COMPILER_ID}" STREQUAL "Clang" OR
-+       "${CMAKE_CXX_COMPILER_ID}" STREQUAL "AppleClang")
-+        ADD_COMPILE_OPTIONS(-msse2)
-+    ENDIF()
-+    IF(MSVC)
-+        ADD_DEFINITIONS(-D__SSE2__=1)
-+    ENDIF()
-+ENDIF()
-+
-+IF(CFITSIO_USE_SSSE3)
-+    IF("${CMAKE_CXX_COMPILER_ID}" STREQUAL "GNU" OR
-+       "${CMAKE_CXX_COMPILER_ID}" STREQUAL "Clang" OR
-+       "${CMAKE_CXX_COMPILER_ID}" STREQUAL "AppleClang")
-+        ADD_COMPILE_OPTIONS(-mssse3)
-+    ENDIF()
-+    IF(MSVC)
-+        ADD_DEFINITIONS(-D__SSE2__=1 -D__SSSE3__=1)
-+    ENDIF()
-+ENDIF()
-+
-+OPTION(CFITSIO_USE_BZIP2 "Enable bzip2 support" OFF)
-+IF(CFITSIO_USE_BZIP2)
-+    FIND_PACKAGE(BZip2 REQUIRED)
-+    LIST(APPEND LINK_LIBS "BZip2::BZip2")
-+    ADD_DEFINITIONS(-DHAVE_BZIP2=1)
-+ENDIF()
-+
-+# Test for the unix ftruncate function
-+CHECK_SYMBOL_EXISTS(ftruncate "unistd.h" HAVE_FTRUNCATE)
-+IF(HAVE_FTRUNCATE)
-+    ADD_DEFINITIONS(-DHAVE_FTRUNCATE)
-+ENDIF()
-+
-+# Check is System V IPC is supported on this machine
-+CHECK_C_SOURCE_COMPILES("
-+#include <sys/ipc.h>
-+#include <sys/shm.h>
-+#include <sys/sem.h>
-+int main() {
-+  shmat(0,0,0);
-+  shmdt(0);
-+  shmget(0, 0, 0);
-+  semget(0, 0, 0);
-+  return 0;
-+}" HAVE_SHMEM_SERVICES)
-+IF(HAVE_SHMEM_SERVICES)
-+    ADD_DEFINITIONS(-DHAVE_SHMEM_SERVICES)
-+
-+    # Some systems define flock_t, for others we have to define it ourselves
-+    CHECK_C_SOURCE_COMPILES("
-+    #include <sys/flock.h>
-+    int main() {
-+      flock_t filler;
-+      return 0;
-+    }" HAVE_FLOCK_T)
-+    IF(HAVE_FLOCK_T)
-+        ADD_DEFINITIONS(-DHAVE_FLOCK_T)
-+    ENDIF()
-+
-+    # Check union semun
-+    CHECK_C_SOURCE_COMPILES("
-+    #include <sys/ipc.h>
-+    #include <sys/shm.h>
-+    #include <sys/sem.h>
-+    int main() {
-+      union semun filler;
-+      return 0;
-+    }" HAVE_UNION_SEMUN)
-+    IF(HAVE_UNION_SEMUN)
-+        ADD_DEFINITIONS(-DHAVE_UNION_SEMUN)
-+    ENDIF()
- ENDIF()
- 
- ADD_LIBRARY(${LIB_NAME} ${LIB_TYPE} ${H_FILES} ${SRC_FILES})
--TARGET_LINK_LIBRARIES(${LIB_NAME} ${PTHREADS_LIBRARY} ${M_LIB} ${CURL_LIBRARIES})
-+TARGET_LINK_LIBRARIES(${LIB_NAME} ${LINK_LIBS} ${M_LIB})
-+if(CMAKE_C_COMPILER_ID STREQUAL "AppleClang" AND CMAKE_C_COMPILER_VERSION VERSION_GREATER_EQUAL "12")
-+    TARGET_COMPILE_OPTIONS(${LIB_NAME} PRIVATE -Wno-error=implicit-function-declaration)
-+endif()
- 
- SET_TARGET_PROPERTIES(${LIB_NAME} PROPERTIES VERSION ${${PROJECT_NAME}_VERSION} SOVERSION ${${PROJECT_NAME}_MAJOR_VERSION})
--install(TARGETS ${LIB_NAME} DESTINATION ${LIB_DESTINATION})
- install(TARGETS ${LIB_NAME}
-                             RUNTIME DESTINATION bin
-                             LIBRARY DESTINATION lib
-                             ARCHIVE DESTINATION lib)
- install(FILES ${H_FILES} DESTINATION ${INCLUDE_INSTALL_DIR} COMPONENT Devel)
- 
--# Only build test code and executables if building a shared library:
--IF (BUILD_SHARED_LIBS)
-+# Do not build test code and executables:
-+IF (FALSE)
- 
-     ENABLE_TESTING()
- 
-@@ -173,7 +255,7 @@ IF (BUILD_SHARED_LIBS)
-       set_target_properties(FPack Funpack PROPERTIES LINK_FLAGS "setargv.obj")
-     endif(MSVC)
- 
--ENDIF(BUILD_SHARED_LIBS)
-+ENDIF()
- 
- configure_file(${CMAKE_CURRENT_SOURCE_DIR}/cfitsio.pc.cmake ${CMAKE_CURRENT_BINARY_DIR}/cfitsio.pc @ONLY)
- install(FILES ${CMAKE_CURRENT_BINARY_DIR}/cfitsio.pc DESTINATION lib/pkgconfig/)
diff --git a/recipes/cfitsio/config.yml b/recipes/cfitsio/config.yml
index 644678fbd04e4..bfb174dc329f7 100644
--- a/recipes/cfitsio/config.yml
+++ b/recipes/cfitsio/config.yml
@@ -1,4 +1,6 @@
 versions:
+  "4.4.0":
+    folder: all
   "4.3.1":
     folder: all
   "4.3.0":
@@ -11,7 +13,3 @@ versions:
     folder: all
   "3.490":
     folder: all
-  "3.480":
-    folder: all
-  "3.470":
-    folder: all