{"id":"vidhyamitra:city-day:rishikesh:1913-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1913-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1913-12-15","date_display":"December 15, 1913 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":1913,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2420116.770833,"kali_year":5015,"ahargana":1831651.2708,"sun":{"sidereal_longitude":239.648,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":76.2792,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":196.6312,"elapsed_within_tithi_degrees":4.6312},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.2792,"elapsed_within_degrees":9.6126},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.9272},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1913,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2420116.770833,"ahargana":1831651.2708,"kali_year":5015,"ayanamsa_lahiri":22.651,"grahas":{"sun":{"sidereal_longitude":239.82359999999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":77.35640000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":4.3258},"mars":{"sidereal_longitude":90.8512,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":220.40250000000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":269.8379,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":226.95810000000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":52.266999999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":330.3011,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":150.3011,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":1913,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2420116.770833,"kali_year":5015,"ahargana":1831651.2708,"sun":{"sidereal_longitude":239.648,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":76.2792,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":196.6312,"elapsed_within_tithi_degrees":4.6312},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.2792,"elapsed_within_degrees":9.6126},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.9272},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.326,"elongation":163.369},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.326,"opposition_distance":16.631}},"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":"07:06","sunsetLocal":"17:19","solarNoonLocal":"12:13","dayLengthHours":10.224629440905503,"dayLengthDisplay":"10 Hours 13 Mins 29 Secs","nightLengthDisplay":"13 Hours 46 Mins 31 Secs","moonriseLocal":"18:23","moonsetLocal":"08:23","rahuKala":{"name":"Rāhu Kāla","start":"08:23","end":"09:39","startHours":8.378291709100903,"endHours":9.65637038921409,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:56","end":"12:13","startHours":10.934449069327279,"endHours":12.212527749440465,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:29","end":"14:46","startHours":13.490606429553655,"endHours":14.76868510966684,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:50","startHours":9.485959898532332,"endHours":9.826780879895848,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:48","startHours":7.5262392556921105,"endHours":7.798896040782924,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:33","startHours":11.871706768076947,"endHours":12.553348730803982,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:25","startHours":5.736929103533647,"endHours":6.418571066260681,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:06","startHours":6.248160575578923,"endHours":7.100213028987715,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:36","startHours":13.916632656258049,"endHours":14.598274618985082,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.124842469893217,"endHours":17.524842469893215,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.324842469893216,"endHours":17.750868696597614,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.074842469893216,"endHours":18.824842469893216,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:33","startHours":23.871706768076947,"endHours":24.553348730803982,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:06","end":"08:23","startHours":7.100213028987715,"endHours":8.378291709100903,"quality":"auspicious"},{"name":"Kāla","start":"08:23","end":"09:39","startHours":8.378291709100903,"endHours":9.65637038921409,"quality":"inauspicious"},{"name":"Śubha","start":"09:39","end":"10:56","startHours":9.65637038921409,"endHours":10.934449069327279,"quality":"auspicious"},{"name":"Roga","start":"10:56","end":"12:13","startHours":10.934449069327279,"endHours":12.212527749440465,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:29","startHours":12.212527749440465,"endHours":13.490606429553655,"quality":"inauspicious"},{"name":"Chala","start":"13:29","end":"14:46","startHours":13.490606429553655,"endHours":14.76868510966684,"quality":"neutral"},{"name":"Labha","start":"14:46","end":"16:03","startHours":14.76868510966684,"endHours":16.04676378978003,"quality":"auspicious"},{"name":"Amṛta","start":"16:03","end":"17:19","startHours":16.04676378978003,"endHours":17.324842469893216,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:19","end":"19:03","startHours":17.324842469893216,"endHours":19.04676378978003,"quality":"neutral"},{"name":"Labha","start":"19:03","end":"20:46","startHours":19.04676378978003,"endHours":20.76868510966684,"quality":"auspicious"},{"name":"Amṛta","start":"20:46","end":"22:29","startHours":20.76868510966684,"endHours":22.49060642955365,"quality":"auspicious"},{"name":"Kāla","start":"22:29","end":"00:13","startHours":22.49060642955365,"endHours":24.212527749440465,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:56","startHours":24.212527749440465,"endHours":25.93444906932728,"quality":"auspicious"},{"name":"Roga","start":"01:56","end":"03:39","startHours":25.93444906932728,"endHours":27.65637038921409,"quality":"inauspicious"},{"name":"Udveg","start":"03:39","end":"05:23","startHours":27.65637038921409,"endHours":29.3782917091009,"quality":"inauspicious"},{"name":"Chala","start":"05:23","end":"07:06","startHours":29.3782917091009,"endHours":31.100213028987714,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.100213028987715,"endHours":8.100213028987714,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.100213028987714,"endHours":9.100213028987714,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.100213028987714,"endHours":10.100213028987714,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.100213028987714,"endHours":11.100213028987714,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.100213028987714,"endHours":12.100213028987714,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.100213028987714,"endHours":13.100213028987714,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.100213028987714,"endHours":14.100213028987714,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.100213028987714,"endHours":15.100213028987714,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.100213028987714,"endHours":16.100213028987714,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.100213028987714,"endHours":17.100213028987714,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.100213028987714,"endHours":18.100213028987714,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.100213028987714,"endHours":19.100213028987714,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.100213028987714,"endHours":20.100213028987714,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.100213028987714,"endHours":21.100213028987714,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.100213028987714,"endHours":22.100213028987714,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.100213028987714,"endHours":23.100213028987714,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.100213028987714,"endHours":24.100213028987714,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.100213028987714,"endHours":25.100213028987714,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.100213028987714,"endHours":26.100213028987714,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.100213028987714,"endHours":27.100213028987714,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.100213028987714,"endHours":28.100213028987714,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.100213028987714,"endHours":29.100213028987714,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.100213028987714,"endHours":30.100213028987714,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.100213028987714,"endHours":31.100213028987714,"planetary_lord":"Venus"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.222744953320724,"eotMinutes":4.177935033572184,"ayanamsa":22.651}},"calendars":{"vikram_samvat":1970,"vikram_samvatsara":"Akṣaya","saka_samvat":1835,"saka_samvatsara":"Pramādī","bengali_samvat":1320,"malayalam_era":1089,"nanakshahi_year":444,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Dvitīyā · Vikram 1970 Akṣaya · Śaka 1835 Pramādī"},"festivals":[{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi_ingress":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 15, 1913 CE · Ṛṣikeśa · Vidhyamitra","description":"December 15, 1913 CE for Ṛṣikeśa: Kṛṣṇa Dvitīyā, sūryodaya 07:06, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1913-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1913-12-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/1913-12-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/1913-12-15","x-default":"https://vidhyamitra.com/city/rishikesh/1913-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:14:42.156Z","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":"2026-05-31T23:14:42.156Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:14:42.156Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}