{"id":"vidhyamitra:city-day:rishikesh:2052-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2052-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2052-07-13","date_display":"July 13, 2052 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2052,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470731.770833,"kali_year":5154,"ahargana":1882266.2708,"sun":{"sidereal_longitude":86.2521,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":278.5736,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":192.3215,"elapsed_within_tithi_degrees":0.3215},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.5736,"elapsed_within_degrees":11.9069},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":4.8257},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2052,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470731.770833,"ahargana":1882266.2708,"kali_year":5154,"ayanamsa_lahiri":24.5868,"grahas":{"sun":{"sidereal_longitude":86.79353500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":278.582535,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":4.2254},"mars":{"sidereal_longitude":350.964435,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":94.824635,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":154.51453500000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":42.546434999999974,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":306.453135,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":168.4749,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":348.4749,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2052,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470731.770833,"kali_year":5154,"ahargana":1882266.2708,"sun":{"sidereal_longitude":86.2521,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":278.5736,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":192.3215,"elapsed_within_tithi_degrees":0.3215},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.5736,"elapsed_within_degrees":11.9069},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":4.8257},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.225,"elongation":167.679},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.225,"opposition_distance":12.321}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:25","sunsetLocal":"19:20","solarNoonLocal":"12:22","dayLengthHours":13.923179359485822,"dayLengthDisplay":"13 Hours 55 Mins 23 Secs","nightLengthDisplay":"10 Hours 04 Mins 37 Secs","moonriseLocal":"19:54","moonsetLocal":"06:25","rahuKala":{"name":"Rāhu Kāla","start":"08:53","end":"10:38","startHours":8.890722307564559,"endHours":10.631119727500286,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:07","end":"15:51","startHours":14.111914567371741,"endHours":15.85231198730747,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:25","end":"07:09","startHours":5.409927467693103,"endHours":7.15032488762883,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.658669318239795,"endHours":9.122775296889323,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:22","startHours":5.990059941005012,"endHours":6.361344723924634,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:50","startHours":11.907411168786485,"endHours":12.83562312608554,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:33","end":"04:29","startHours":3.553503553094993,"endHours":4.481715510394048,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:25","startHours":4.249662521069284,"endHours":5.409927467693103,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.69204704068365,"endHours":15.620258997982706,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:08","end":"19:32","startHours":19.133106827178924,"endHours":19.533106827178923,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:20","end":"19:55","startHours":19.333106827178923,"endHours":19.913239300490833,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:05","end":"20:50","startHours":19.083106827178923,"endHours":20.833106827178923,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:50","startHours":23.907411168786485,"endHours":24.83562312608554,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:25","end":"07:09","startHours":5.409927467693103,"endHours":7.15032488762883,"quality":"inauspicious"},{"name":"Śubha","start":"07:09","end":"08:53","startHours":7.15032488762883,"endHours":8.890722307564559,"quality":"auspicious"},{"name":"Roga","start":"08:53","end":"10:38","startHours":8.890722307564559,"endHours":10.631119727500286,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:22","startHours":10.631119727500286,"endHours":12.371517147436013,"quality":"inauspicious"},{"name":"Chala","start":"12:22","end":"14:07","startHours":12.371517147436013,"endHours":14.111914567371741,"quality":"neutral"},{"name":"Labha","start":"14:07","end":"15:51","startHours":14.111914567371741,"endHours":15.85231198730747,"quality":"auspicious"},{"name":"Amṛta","start":"15:51","end":"17:36","startHours":15.85231198730747,"endHours":17.592709407243195,"quality":"auspicious"},{"name":"Kāla","start":"17:36","end":"19:20","startHours":17.592709407243195,"endHours":19.333106827178923,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:20","end":"20:36","startHours":19.333106827178923,"endHours":20.592709407243195,"quality":"auspicious"},{"name":"Amṛta","start":"20:36","end":"21:51","startHours":20.592709407243195,"endHours":21.852311987307466,"quality":"auspicious"},{"name":"Kāla","start":"21:51","end":"23:07","startHours":21.852311987307466,"endHours":23.11191456737174,"quality":"inauspicious"},{"name":"Śubha","start":"23:07","end":"00:22","startHours":23.11191456737174,"endHours":24.371517147436013,"quality":"auspicious"},{"name":"Roga","start":"00:22","end":"01:38","startHours":24.371517147436013,"endHours":25.631119727500284,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"02:53","startHours":25.631119727500284,"endHours":26.89072230756456,"quality":"inauspicious"},{"name":"Chala","start":"02:53","end":"04:09","startHours":26.89072230756456,"endHours":28.15032488762883,"quality":"neutral"},{"name":"Labha","start":"04:09","end":"05:25","startHours":28.15032488762883,"endHours":29.4099274676931,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.409927467693103,"endHours":6.409927467693103,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.409927467693103,"endHours":7.409927467693103,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.409927467693103,"endHours":8.409927467693102,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.409927467693102,"endHours":9.409927467693102,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.409927467693102,"endHours":10.409927467693102,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.409927467693102,"endHours":11.409927467693102,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.409927467693102,"endHours":12.409927467693102,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.409927467693102,"endHours":13.409927467693102,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.409927467693102,"endHours":14.409927467693102,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.409927467693102,"endHours":15.409927467693102,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.409927467693102,"endHours":16.4099274676931,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.4099274676931,"endHours":17.4099274676931,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.4099274676931,"endHours":18.4099274676931,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.4099274676931,"endHours":19.4099274676931,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.4099274676931,"endHours":20.4099274676931,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.4099274676931,"endHours":21.4099274676931,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.4099274676931,"endHours":22.4099274676931,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.4099274676931,"endHours":23.4099274676931,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.4099274676931,"endHours":24.4099274676931,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.4099274676931,"endHours":25.4099274676931,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.4099274676931,"endHours":26.4099274676931,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.4099274676931,"endHours":27.4099274676931,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.4099274676931,"endHours":28.4099274676931,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.4099274676931,"endHours":29.4099274676931,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.73787715604656,"eotMinutes":-5.361428846160681,"ayanamsa":24.5868}},"calendars":{"vikram_samvat":2109,"vikram_samvatsara":"Pārthiva","saka_samvat":1974,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1459,"malayalam_era":1228,"nanakshahi_year":583,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Dvitīyā · Vikram 2109 Pārthiva · Śaka 1974 Aṅgirasa"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 13, 2052 CE · Ṛṣikeśa · Vidhyamitra","description":"July 13, 2052 CE for Ṛṣikeśa: Kṛṣṇa Dvitīyā, sūryodaya 05:25, sūryāsta 19:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2052-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2052-07-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2052-07-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2052-07-13","x-default":"https://vidhyamitra.com/city/rishikesh/2052-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T21:33:36.874Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-16T21:33:36.874Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T21:33:36.874Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}