{"id":"vidhyamitra:city-day:rishikesh:2037-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2037-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2037-12-13","date_display":"December 13, 2037 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":2037,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465405.770833,"kali_year":5139,"ahargana":1876940.2708,"sun":{"sidereal_longitude":236.4828,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":309.6977,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.2149,"elapsed_within_tithi_degrees":1.2149},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":309.6977,"elapsed_within_degrees":3.0311},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.1805},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2037,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465405.770833,"ahargana":1876940.2708,"kali_year":5139,"ayanamsa_lahiri":24.3831,"grahas":{"sun":{"sidereal_longitude":236.97822700000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":309.7840269999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-2.8318},"mars":{"sidereal_longitude":25.92902700000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":226.81782699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":93.250427,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"venus":{"sidereal_longitude":266.594427,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":141.11712699999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":90.672,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":270.672,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"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":2037,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465405.770833,"kali_year":5139,"ahargana":1876940.2708,"sun":{"sidereal_longitude":236.4828,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":309.6977,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.2149,"elapsed_within_tithi_degrees":1.2149},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":309.6977,"elapsed_within_degrees":3.0311},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.1805},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.832,"elongation":73.215},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.832,"opposition_distance":106.785}},"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":"07:05","sunsetLocal":"17:19","solarNoonLocal":"12:12","dayLengthHours":10.230918691498374,"dayLengthDisplay":"10 Hours 13 Mins 51 Secs","nightLengthDisplay":"13 Hours 46 Mins 09 Secs","moonriseLocal":"11:24","moonsetLocal":"22:42","rahuKala":{"name":"Rāhu Kāla","start":"16:02","end":"17:19","startHours":16.033910338488255,"endHours":17.31277517492555,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:12","end":"13:29","startHours":12.197315829176365,"endHours":13.476180665613661,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:45","end":"16:02","startHours":14.755045502050958,"endHours":16.033910338488255,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:49","startHours":9.469070844776798,"endHours":9.810101467826744,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:47","startHours":7.508144762239611,"endHours":7.7809692606795675,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:32","startHours":11.856285206126419,"endHours":12.53834645222631,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:24","startHours":5.717733991227395,"endHours":6.399795237327287,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:05","startHours":6.229279925802314,"endHours":7.081856483427178,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.902468944426094,"endHours":14.584530190525985,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.112775174925552,"endHours":17.51277517492555,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:44","startHours":17.31277517492555,"endHours":17.739063453737984,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.06277517492555,"endHours":18.81277517492555,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:32","startHours":23.85628520612642,"endHours":24.53834645222631,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:05","end":"08:22","startHours":7.081856483427178,"endHours":8.360721319864474,"quality":"inauspicious"},{"name":"Chala","start":"08:22","end":"09:38","startHours":8.360721319864474,"endHours":9.639586156301771,"quality":"neutral"},{"name":"Labha","start":"09:38","end":"10:55","startHours":9.639586156301771,"endHours":10.918450992739068,"quality":"auspicious"},{"name":"Amṛta","start":"10:55","end":"12:12","startHours":10.918450992739068,"endHours":12.197315829176365,"quality":"auspicious"},{"name":"Kāla","start":"12:12","end":"13:29","startHours":12.197315829176365,"endHours":13.476180665613661,"quality":"inauspicious"},{"name":"Śubha","start":"13:29","end":"14:45","startHours":13.476180665613661,"endHours":14.755045502050958,"quality":"auspicious"},{"name":"Roga","start":"14:45","end":"16:02","startHours":14.755045502050958,"endHours":16.033910338488255,"quality":"inauspicious"},{"name":"Udveg","start":"16:02","end":"17:19","startHours":16.033910338488255,"endHours":17.31277517492555,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:19","end":"19:02","startHours":17.31277517492555,"endHours":19.033910338488255,"quality":"auspicious"},{"name":"Roga","start":"19:02","end":"20:45","startHours":19.033910338488255,"endHours":20.755045502050958,"quality":"inauspicious"},{"name":"Udveg","start":"20:45","end":"22:29","startHours":20.755045502050958,"endHours":22.47618066561366,"quality":"inauspicious"},{"name":"Chala","start":"22:29","end":"00:12","startHours":22.47618066561366,"endHours":24.197315829176365,"quality":"neutral"},{"name":"Labha","start":"00:12","end":"01:55","startHours":24.197315829176365,"endHours":25.918450992739068,"quality":"auspicious"},{"name":"Amṛta","start":"01:55","end":"03:38","startHours":25.918450992739068,"endHours":27.63958615630177,"quality":"auspicious"},{"name":"Kāla","start":"03:38","end":"05:22","startHours":27.63958615630177,"endHours":29.360721319864474,"quality":"inauspicious"},{"name":"Śubha","start":"05:22","end":"07:05","startHours":29.360721319864474,"endHours":31.081856483427178,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.081856483427178,"endHours":8.081856483427178,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.081856483427178,"endHours":9.081856483427178,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.081856483427178,"endHours":10.081856483427178,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.081856483427178,"endHours":11.081856483427178,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.081856483427178,"endHours":12.081856483427178,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.081856483427178,"endHours":13.081856483427178,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.081856483427178,"endHours":14.081856483427178,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.081856483427178,"endHours":15.081856483427178,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.081856483427178,"endHours":16.081856483427178,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.081856483427178,"endHours":17.081856483427178,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.081856483427178,"endHours":18.081856483427178,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.081856483427178,"endHours":19.081856483427178,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.081856483427178,"endHours":20.081856483427178,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.081856483427178,"endHours":21.081856483427178,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.081856483427178,"endHours":22.081856483427178,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.081856483427178,"endHours":23.081856483427178,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.081856483427178,"endHours":24.081856483427178,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.081856483427178,"endHours":25.081856483427178,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.081856483427178,"endHours":26.081856483427178,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.081856483427178,"endHours":27.081856483427178,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.081856483427178,"endHours":28.081856483427178,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.081856483427178,"endHours":29.081856483427178,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.081856483427178,"endHours":30.081856483427178,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.081856483427178,"endHours":31.081856483427178,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.15502333354776,"eotMinutes":5.090650249418121,"ayanamsa":24.3831}},"calendars":{"vikram_samvat":2094,"vikram_samvatsara":"Pramoda","saka_samvat":1959,"saka_samvatsara":"Piṅgala","bengali_samvat":1444,"malayalam_era":1213,"nanakshahi_year":568,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Saptamī · Vikram 2094 Pramoda · Śaka 1959 Piṅgala"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 December 13, 2037 CE · Ṛṣikeśa · Vidhyamitra","description":"December 13, 2037 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 07:05, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2037-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2037-12-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2037-12-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2037-12-13","x-default":"https://vidhyamitra.com/city/rishikesh/2037-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:00:49.621Z","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":"2026-06-01T04:00:49.621Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:00:49.621Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}