{"id":"vidhyamitra:city-day:rishikesh:2059-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2059-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2059-12-16","date_display":"December 16, 2059 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":2059,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2473443.770833,"kali_year":5161,"ahargana":1884978.2708,"sun":{"sidereal_longitude":238.8493,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":21.0089,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":142.1596,"elapsed_within_tithi_degrees":10.1596},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.0089,"elapsed_within_degrees":7.6755},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.8581},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2059,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2473443.770833,"ahargana":1884978.2708,"kali_year":5161,"ayanamsa_lahiri":24.6905,"grahas":{"sun":{"sidereal_longitude":239.376716,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":19.98381599999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":-0.2957},"mars":{"sidereal_longitude":263.7565159999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":230.429216,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":26.95791600000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":272.29261599999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":32.794916,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":24.7801,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":204.7801,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2059,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2473443.770833,"kali_year":5161,"ahargana":1884978.2708,"sun":{"sidereal_longitude":238.8493,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":21.0089,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":142.1596,"elapsed_within_tithi_degrees":10.1596},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.0089,"elapsed_within_degrees":7.6755},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.8581},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.296,"elongation":142.16},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.296,"opposition_distance":37.84}},"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":"07:07","sunsetLocal":"17:20","solarNoonLocal":"12:13","dayLengthHours":10.217116992767714,"dayLengthDisplay":"10 Hours 13 Mins 02 Secs","nightLengthDisplay":"13 Hours 46 Mins 58 Secs","moonriseLocal":"14:54","moonsetLocal":"04:17","rahuKala":{"name":"Rāhu Kāla","start":"14:46","end":"16:03","startHours":14.77449063440572,"endHours":16.051630258501685,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:40","end":"10:57","startHours":9.665932138021862,"endHours":10.943071762117828,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:30","startHours":12.22021138621379,"endHours":13.497351010309757,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:50","startHours":9.495646854809067,"endHours":9.836217421234657,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.537366097861923,"endHours":7.809822551002395,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:34","startHours":11.8796408197882,"endHours":12.560781952639381,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:26","startHours":5.749370624127573,"endHours":6.4305117569787535,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:07","startHours":6.260226473765958,"endHours":7.1116528898299345,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:36","startHours":13.923064218341743,"endHours":14.604205351192924,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.12876988259765,"endHours":17.528769882597647,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:45","startHours":17.328769882597648,"endHours":17.754483090629634,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.078769882597648,"endHours":18.828769882597648,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:34","startHours":23.8796408197882,"endHours":24.56078195263938,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:07","end":"08:23","startHours":7.1116528898299345,"endHours":8.3887925139259,"quality":"inauspicious"},{"name":"Udveg","start":"08:23","end":"09:40","startHours":8.3887925139259,"endHours":9.665932138021862,"quality":"inauspicious"},{"name":"Chala","start":"09:40","end":"10:57","startHours":9.665932138021862,"endHours":10.943071762117828,"quality":"neutral"},{"name":"Labha","start":"10:57","end":"12:13","startHours":10.943071762117828,"endHours":12.22021138621379,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:30","startHours":12.22021138621379,"endHours":13.497351010309757,"quality":"auspicious"},{"name":"Kāla","start":"13:30","end":"14:46","startHours":13.497351010309757,"endHours":14.77449063440572,"quality":"inauspicious"},{"name":"Śubha","start":"14:46","end":"16:03","startHours":14.77449063440572,"endHours":16.051630258501685,"quality":"auspicious"},{"name":"Roga","start":"16:03","end":"17:20","startHours":16.051630258501685,"endHours":17.328769882597648,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:20","end":"19:03","startHours":17.328769882597648,"endHours":19.05163025850168,"quality":"inauspicious"},{"name":"Śubha","start":"19:03","end":"20:46","startHours":19.05163025850168,"endHours":20.77449063440572,"quality":"auspicious"},{"name":"Roga","start":"20:46","end":"22:30","startHours":20.77449063440572,"endHours":22.497351010309757,"quality":"inauspicious"},{"name":"Udveg","start":"22:30","end":"00:13","startHours":22.497351010309757,"endHours":24.22021138621379,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:57","startHours":24.22021138621379,"endHours":25.943071762117825,"quality":"neutral"},{"name":"Labha","start":"01:57","end":"03:40","startHours":25.943071762117825,"endHours":27.665932138021862,"quality":"auspicious"},{"name":"Amṛta","start":"03:40","end":"05:23","startHours":27.665932138021862,"endHours":29.3887925139259,"quality":"auspicious"},{"name":"Kāla","start":"05:23","end":"07:07","startHours":29.3887925139259,"endHours":31.111652889829934,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.1116528898299345,"endHours":8.111652889829934,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.111652889829934,"endHours":9.111652889829934,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.111652889829934,"endHours":10.111652889829934,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.111652889829934,"endHours":11.111652889829934,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.111652889829934,"endHours":12.111652889829934,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.111652889829934,"endHours":13.111652889829934,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.111652889829934,"endHours":14.111652889829934,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.111652889829934,"endHours":15.111652889829934,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.111652889829934,"endHours":16.111652889829934,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.111652889829934,"endHours":17.111652889829934,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.111652889829934,"endHours":18.111652889829934,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.111652889829934,"endHours":19.111652889829934,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.111652889829934,"endHours":20.111652889829934,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.111652889829934,"endHours":21.111652889829934,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.111652889829934,"endHours":22.111652889829934,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.111652889829934,"endHours":23.111652889829934,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.111652889829934,"endHours":24.111652889829934,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.111652889829934,"endHours":25.111652889829934,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.111652889829934,"endHours":26.111652889829934,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.111652889829934,"endHours":27.111652889829934,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.111652889829934,"endHours":28.111652889829934,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.111652889829934,"endHours":29.111652889829934,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.111652889829934,"endHours":30.111652889829934,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.111652889829934,"endHours":31.111652889829934,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","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":-23.30353337432286,"eotMinutes":3.716916827172506,"ayanamsa":24.6905}},"calendars":{"vikram_samvat":2116,"vikram_samvatsara":"Nandana","saka_samvat":1981,"saka_samvatsara":"Pramāthi","bengali_samvat":1466,"malayalam_era":1235,"nanakshahi_year":590,"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 Dvādaśī · Vikram 2116 Nandana · Śaka 1981 Pramāthi"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 16, 2059 CE · Ṛṣikeśa · Vidhyamitra","description":"December 16, 2059 CE for Ṛṣikeśa: Śukla Dvādaśī, sūryodaya 07:07, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2059-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2059-12-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2059-12-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2059-12-16","x-default":"https://vidhyamitra.com/city/rishikesh/2059-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:43:40.394Z","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":"2026-05-31T16:43:40.394Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:43:40.394Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}