{"id":"vidhyamitra:city-day:rishikesh:2165-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2165-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-12-16","date_display":"December 16, 2165 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":2165,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512159.770833,"kali_year":5267,"ahargana":1923694.2708,"sun":{"sidereal_longitude":237.3843,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":38.3857,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.0014,"elapsed_within_tithi_degrees":5.0014},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":38.3857,"elapsed_within_degrees":11.7191},"yoga":{"number":21,"name":"Siddha","sum_longitude":275.77},"karana":{"half_tithi_index":26,"name":"Gara"},"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":2165,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512159.770833,"ahargana":1923694.2708,"kali_year":5267,"ayanamsa_lahiri":26.1713,"grahas":{"sun":{"sidereal_longitude":238.17528000000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":37.497180000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":-4.4826},"mars":{"sidereal_longitude":75.67678000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":236.50048000000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":356.92528,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":207.97507999999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":250.96988,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":133.4201,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":313.4201,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"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":2165,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512159.770833,"kali_year":5267,"ahargana":1923694.2708,"sun":{"sidereal_longitude":237.3843,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":38.3857,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.0014,"elapsed_within_tithi_degrees":5.0014},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":38.3857,"elapsed_within_degrees":11.7191},"yoga":{"number":21,"name":"Siddha","sum_longitude":275.77},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.483,"elongation":161.001},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.483,"opposition_distance":18.999}},"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":10.215980487208334,"dayLengthDisplay":"10 Hours 12 Mins 58 Secs","nightLengthDisplay":"13 Hours 47 Mins 02 Secs","moonriseLocal":"15:56","moonsetLocal":"05:45","rahuKala":{"name":"Rāhu Kāla","start":"08:23","end":"09:40","startHours":8.389218703510664,"endHours":9.666216264411705,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:57","end":"12:13","startHours":10.943213825312748,"endHours":12.22021138621379,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:30","end":"14:46","startHours":13.497208947114832,"endHours":14.774206508015872,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:50","startHours":9.495949922958234,"endHours":9.836482605865179,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.537886996243303,"endHours":7.810313142568859,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:34","startHours":11.879678703306846,"endHours":12.560744069120735,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:26","startHours":5.750090410981844,"endHours":6.431155776795734,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:07","startHours":6.2608894353422615,"endHours":7.112221142609623,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:36","startHours":13.922874800748513,"endHours":14.603940166562403,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.12820162981796,"endHours":17.528201629817957,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:45","startHours":17.328201629817958,"endHours":17.75386748345164,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.078201629817958,"endHours":18.828201629817958,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:34","startHours":23.879678703306848,"endHours":24.560744069120734,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:07","end":"08:23","startHours":7.112221142609623,"endHours":8.389218703510664,"quality":"auspicious"},{"name":"Kāla","start":"08:23","end":"09:40","startHours":8.389218703510664,"endHours":9.666216264411705,"quality":"inauspicious"},{"name":"Śubha","start":"09:40","end":"10:57","startHours":9.666216264411705,"endHours":10.943213825312748,"quality":"auspicious"},{"name":"Roga","start":"10:57","end":"12:13","startHours":10.943213825312748,"endHours":12.22021138621379,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:30","startHours":12.22021138621379,"endHours":13.497208947114832,"quality":"inauspicious"},{"name":"Chala","start":"13:30","end":"14:46","startHours":13.497208947114832,"endHours":14.774206508015872,"quality":"neutral"},{"name":"Labha","start":"14:46","end":"16:03","startHours":14.774206508015872,"endHours":16.051204068916917,"quality":"auspicious"},{"name":"Amṛta","start":"16:03","end":"17:20","startHours":16.051204068916917,"endHours":17.328201629817958,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:20","end":"19:03","startHours":17.328201629817958,"endHours":19.051204068916917,"quality":"neutral"},{"name":"Labha","start":"19:03","end":"20:46","startHours":19.051204068916917,"endHours":20.774206508015872,"quality":"auspicious"},{"name":"Amṛta","start":"20:46","end":"22:30","startHours":20.774206508015872,"endHours":22.49720894711483,"quality":"auspicious"},{"name":"Kāla","start":"22:30","end":"00:13","startHours":22.49720894711483,"endHours":24.22021138621379,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:57","startHours":24.22021138621379,"endHours":25.94321382531275,"quality":"auspicious"},{"name":"Roga","start":"01:57","end":"03:40","startHours":25.94321382531275,"endHours":27.66621626441171,"quality":"inauspicious"},{"name":"Udveg","start":"03:40","end":"05:23","startHours":27.66621626441171,"endHours":29.389218703510664,"quality":"inauspicious"},{"name":"Chala","start":"05:23","end":"07:07","startHours":29.389218703510664,"endHours":31.112221142609624,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.112221142609623,"endHours":8.112221142609624,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.112221142609624,"endHours":9.112221142609624,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.112221142609624,"endHours":10.112221142609624,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.112221142609624,"endHours":11.112221142609624,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.112221142609624,"endHours":12.112221142609624,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.112221142609624,"endHours":13.112221142609624,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.112221142609624,"endHours":14.112221142609624,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.112221142609624,"endHours":15.112221142609624,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.112221142609624,"endHours":16.112221142609624,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.112221142609624,"endHours":17.112221142609624,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.112221142609624,"endHours":18.112221142609624,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.112221142609624,"endHours":19.112221142609624,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.112221142609624,"endHours":20.112221142609624,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.112221142609624,"endHours":21.112221142609624,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.112221142609624,"endHours":22.112221142609624,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.112221142609624,"endHours":23.112221142609624,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.112221142609624,"endHours":24.112221142609624,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.112221142609624,"endHours":25.112221142609624,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.112221142609624,"endHours":26.112221142609624,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.112221142609624,"endHours":27.112221142609624,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.112221142609624,"endHours":28.112221142609624,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.112221142609624,"endHours":29.112221142609624,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.112221142609624,"endHours":30.112221142609624,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.112221142609624,"endHours":31.112221142609624,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","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":-23.3157453812702,"eotMinutes":3.716916827172506,"ayanamsa":26.1713}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"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 Caturdaśī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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, 2165 CE · Ṛṣikeśa · Vidhyamitra","description":"December 16, 2165 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 07:07, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2165-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2165-12-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2165-12-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2165-12-16","x-default":"https://vidhyamitra.com/city/rishikesh/2165-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:01:07.222Z","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":"2026-05-31T16:01:07.222Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:01:07.222Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}