{"id":"vidhyamitra:city-day:rishikesh:2013-12-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2013-12-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-12-06","date_display":"December 6, 2013 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":2013,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456632.770833,"kali_year":5115,"ahargana":1868167.2708,"sun":{"sidereal_longitude":229.528,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":268.9249,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.3969,"elapsed_within_tithi_degrees":3.3969},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":268.9249,"elapsed_within_degrees":2.2583},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":138.453},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2013,"month":12,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456632.770833,"ahargana":1868167.2708,"kali_year":5115,"ayanamsa_lahiri":24.0476,"grahas":{"sun":{"sidereal_longitude":230.02342,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":272.39392,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":4.3125},"mars":{"sidereal_longitude":154.81272,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":217.09012000000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":84.48532,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"venus":{"sidereal_longitude":270.21862,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":203.39031999999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":195.5077,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":15.5077,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2013,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456632.770833,"kali_year":5115,"ahargana":1868167.2708,"sun":{"sidereal_longitude":229.528,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":268.9249,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.3969,"elapsed_within_tithi_degrees":3.3969},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":268.9249,"elapsed_within_degrees":2.2583},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":138.453},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.312,"elongation":39.397},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.312,"opposition_distance":140.603}},"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":"07:00","sunsetLocal":"17:18","solarNoonLocal":"12:09","dayLengthHours":10.292643157800647,"dayLengthDisplay":"10 Hours 17 Mins 34 Secs","nightLengthDisplay":"13 Hours 42 Mins 26 Secs","moonriseLocal":"09:46","moonsetLocal":"20:10","rahuKala":{"name":"Rāhu Kāla","start":"10:52","end":"12:09","startHours":10.859864947362395,"endHours":12.146445342087475,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:43","end":"16:00","startHours":14.719606131537638,"endHours":16.006186526262717,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:17","end":"09:34","startHours":8.286704157912233,"endHours":9.573284552637315,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:45","startHours":9.401740500007303,"endHours":9.744828605267324,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:42","startHours":7.428983894762179,"endHours":7.703454378970196,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:29","startHours":11.803357236827454,"endHours":12.489533447347496,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:19","startHours":5.627771342147065,"endHours":6.313947552667109,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:00","startHours":6.142403500037098,"endHours":7.000123763187152,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:33","startHours":13.861885868387585,"endHours":14.548062078907629,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.0927669209878,"endHours":17.492766920987798,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:43","startHours":17.2927669209878,"endHours":17.721627052562827,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.0427669209878,"endHours":18.7927669209878,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:29","startHours":23.803357236827452,"endHours":24.489533447347497,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:00","end":"08:17","startHours":7.000123763187152,"endHours":8.286704157912233,"quality":"neutral"},{"name":"Labha","start":"08:17","end":"09:34","startHours":8.286704157912233,"endHours":9.573284552637315,"quality":"auspicious"},{"name":"Amṛta","start":"09:34","end":"10:52","startHours":9.573284552637315,"endHours":10.859864947362395,"quality":"auspicious"},{"name":"Kāla","start":"10:52","end":"12:09","startHours":10.859864947362395,"endHours":12.146445342087475,"quality":"inauspicious"},{"name":"Śubha","start":"12:09","end":"13:26","startHours":12.146445342087475,"endHours":13.433025736812557,"quality":"auspicious"},{"name":"Roga","start":"13:26","end":"14:43","startHours":13.433025736812557,"endHours":14.719606131537638,"quality":"inauspicious"},{"name":"Udveg","start":"14:43","end":"16:00","startHours":14.719606131537638,"endHours":16.006186526262717,"quality":"inauspicious"},{"name":"Chala","start":"16:00","end":"17:18","startHours":16.006186526262717,"endHours":17.2927669209878,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:18","end":"19:00","startHours":17.2927669209878,"endHours":19.006186526262717,"quality":"inauspicious"},{"name":"Udveg","start":"19:00","end":"20:43","startHours":19.006186526262717,"endHours":20.71960613153764,"quality":"inauspicious"},{"name":"Chala","start":"20:43","end":"22:26","startHours":20.71960613153764,"endHours":22.433025736812557,"quality":"neutral"},{"name":"Labha","start":"22:26","end":"00:09","startHours":22.433025736812557,"endHours":24.146445342087475,"quality":"auspicious"},{"name":"Amṛta","start":"00:09","end":"01:52","startHours":24.146445342087475,"endHours":25.859864947362393,"quality":"auspicious"},{"name":"Kāla","start":"01:52","end":"03:34","startHours":25.859864947362393,"endHours":27.57328455263731,"quality":"inauspicious"},{"name":"Śubha","start":"03:34","end":"05:17","startHours":27.57328455263731,"endHours":29.286704157912233,"quality":"auspicious"},{"name":"Roga","start":"05:17","end":"07:00","startHours":29.286704157912233,"endHours":31.00012376318715,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:00","end":"08:00","startHours":7.000123763187152,"endHours":8.000123763187151,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:00","end":"09:00","startHours":8.000123763187151,"endHours":9.000123763187151,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:00","end":"10:00","startHours":9.000123763187151,"endHours":10.000123763187151,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:00","end":"11:00","startHours":10.000123763187151,"endHours":11.000123763187151,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:00","end":"12:00","startHours":11.000123763187151,"endHours":12.000123763187151,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:00","end":"13:00","startHours":12.000123763187151,"endHours":13.000123763187151,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:00","end":"14:00","startHours":13.000123763187151,"endHours":14.000123763187151,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:00","end":"15:00","startHours":14.000123763187151,"endHours":15.000123763187151,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:00","end":"16:00","startHours":15.000123763187151,"endHours":16.00012376318715,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:00","end":"17:00","startHours":16.00012376318715,"endHours":17.00012376318715,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:00","end":"18:00","startHours":17.00012376318715,"endHours":18.00012376318715,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:00","end":"19:00","startHours":18.00012376318715,"endHours":19.00012376318715,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:00","end":"20:00","startHours":19.00012376318715,"endHours":20.00012376318715,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:00","end":"21:00","startHours":20.00012376318715,"endHours":21.00012376318715,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:00","end":"22:00","startHours":21.00012376318715,"endHours":22.00012376318715,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:00","end":"23:00","startHours":22.00012376318715,"endHours":23.00012376318715,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:00","end":"00:00","startHours":23.00012376318715,"endHours":24.00012376318715,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:00","end":"01:00","startHours":24.00012376318715,"endHours":25.00012376318715,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:00","end":"02:00","startHours":25.00012376318715,"endHours":26.00012376318715,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:00","end":"03:00","startHours":26.00012376318715,"endHours":27.00012376318715,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:00","end":"04:00","startHours":27.00012376318715,"endHours":28.00012376318715,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:00","end":"05:00","startHours":28.00012376318715,"endHours":29.00012376318715,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:00","end":"06:00","startHours":29.00012376318715,"endHours":30.00012376318715,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:00","end":"07:00","startHours":30.00012376318715,"endHours":31.00012376318715,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.4861799357813,"eotMinutes":8.142879474751563,"ayanamsa":24.0476}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturthī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 6, 2013 CE · Ṛṣikeśa · Vidhyamitra","description":"December 6, 2013 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 07:00, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2013-12-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2013-12-06","sa":"https://sa.vidhyamitra.com/city/rishikesh/2013-12-06","hi":"https://hi.vidhyamitra.com/city/rishikesh/2013-12-06","x-default":"https://vidhyamitra.com/city/rishikesh/2013-12-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T03:30:50.804Z","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":"2026-05-16T03:30:50.804Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T03:30:50.804Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}