{"id":"vidhyamitra:city-day:rishikesh:2164-12-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2164-12-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2164-12-17","date_display":"December 17, 2164 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":2164,"month":12,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511795.770833,"kali_year":5266,"ahargana":1923330.2708,"sun":{"sidereal_longitude":238.6755,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":274.3643,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":35.6889,"elapsed_within_tithi_degrees":11.6889},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.3643,"elapsed_within_degrees":7.6977},"yoga":{"number":12,"name":"Dhruva","sum_longitude":153.0398},"karana":{"half_tithi_index":5,"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":2164,"month":12,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511795.770833,"ahargana":1923330.2708,"kali_year":5266,"ayanamsa_lahiri":26.1574,"grahas":{"sun":{"sidereal_longitude":239.45318799999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":278.083988,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":3.8293},"mars":{"sidereal_longitude":221.71578799999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":226.833488,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":322.11538799999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":223.94328799999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":241.10368799999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":152.7065,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":332.7065,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"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":2164,"month":12,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511795.770833,"kali_year":5266,"ahargana":1923330.2708,"sun":{"sidereal_longitude":238.6755,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":274.3643,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":35.6889,"elapsed_within_tithi_degrees":11.6889},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.3643,"elapsed_within_degrees":7.6977},"yoga":{"number":12,"name":"Dhruva","sum_longitude":153.0398},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.829,"elongation":35.689},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.829,"opposition_distance":144.311}},"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":"12:14","dayLengthHours":10.211518089073069,"dayLengthDisplay":"10 Hours 12 Mins 41 Secs","nightLengthDisplay":"13 Hours 47 Mins 19 Secs","moonriseLocal":"09:32","moonsetLocal":"20:05","rahuKala":{"name":"Rāhu Kāla","start":"08:24","end":"09:41","startHours":8.398617901979126,"endHours":9.67505766311326,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:57","end":"12:14","startHours":10.951497424247393,"endHours":12.227937185381528,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:30","end":"14:47","startHours":13.50437694651566,"endHours":14.780816707649794,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:51","startHours":9.504865694962042,"endHours":9.845249631264478,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:49","startHours":7.547658061223037,"endHours":7.819965210264985,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:34","startHours":11.887553249079092,"endHours":12.568321121683963,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:26","startHours":5.76064239563525,"endHours":6.441410268240121,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:07","startHours":6.271218300088903,"endHours":7.1221781408449925,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:37","startHours":13.929856866893704,"endHours":14.610624739498576,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.133696229918062,"endHours":17.53369622991806,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:46","startHours":17.33369622991806,"endHours":17.759176150296106,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.08369622991806,"endHours":18.83369622991806,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:34","startHours":23.887553249079094,"endHours":24.56832112168396,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:07","end":"08:24","startHours":7.1221781408449925,"endHours":8.398617901979126,"quality":"auspicious"},{"name":"Kāla","start":"08:24","end":"09:41","startHours":8.398617901979126,"endHours":9.67505766311326,"quality":"inauspicious"},{"name":"Śubha","start":"09:41","end":"10:57","startHours":9.67505766311326,"endHours":10.951497424247393,"quality":"auspicious"},{"name":"Roga","start":"10:57","end":"12:14","startHours":10.951497424247393,"endHours":12.227937185381528,"quality":"inauspicious"},{"name":"Udveg","start":"12:14","end":"13:30","startHours":12.227937185381528,"endHours":13.50437694651566,"quality":"inauspicious"},{"name":"Chala","start":"13:30","end":"14:47","startHours":13.50437694651566,"endHours":14.780816707649794,"quality":"neutral"},{"name":"Labha","start":"14:47","end":"16:03","startHours":14.780816707649794,"endHours":16.057256468783926,"quality":"auspicious"},{"name":"Amṛta","start":"16:03","end":"17:20","startHours":16.057256468783926,"endHours":17.33369622991806,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:20","end":"19:03","startHours":17.33369622991806,"endHours":19.057256468783926,"quality":"neutral"},{"name":"Labha","start":"19:03","end":"20:47","startHours":19.057256468783926,"endHours":20.780816707649794,"quality":"auspicious"},{"name":"Amṛta","start":"20:47","end":"22:30","startHours":20.780816707649794,"endHours":22.50437694651566,"quality":"auspicious"},{"name":"Kāla","start":"22:30","end":"00:14","startHours":22.50437694651566,"endHours":24.227937185381528,"quality":"inauspicious"},{"name":"Śubha","start":"00:14","end":"01:57","startHours":24.227937185381528,"endHours":25.951497424247393,"quality":"auspicious"},{"name":"Roga","start":"01:57","end":"03:41","startHours":25.951497424247393,"endHours":27.675057663113257,"quality":"inauspicious"},{"name":"Udveg","start":"03:41","end":"05:24","startHours":27.675057663113257,"endHours":29.398617901979126,"quality":"inauspicious"},{"name":"Chala","start":"05:24","end":"07:07","startHours":29.398617901979126,"endHours":31.122178140844994,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.1221781408449925,"endHours":8.122178140844992,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.122178140844992,"endHours":9.122178140844992,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.122178140844992,"endHours":10.122178140844992,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.122178140844992,"endHours":11.122178140844992,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.122178140844992,"endHours":12.122178140844992,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.122178140844992,"endHours":13.122178140844992,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.122178140844992,"endHours":14.122178140844992,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.122178140844992,"endHours":15.122178140844992,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.122178140844992,"endHours":16.122178140844994,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.122178140844994,"endHours":17.122178140844994,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.122178140844994,"endHours":18.122178140844994,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.122178140844994,"endHours":19.122178140844994,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.122178140844994,"endHours":20.122178140844994,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.122178140844994,"endHours":21.122178140844994,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.122178140844994,"endHours":22.122178140844994,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.122178140844994,"endHours":23.122178140844994,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.122178140844994,"endHours":24.122178140844994,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.122178140844994,"endHours":25.122178140844994,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.122178140844994,"endHours":26.122178140844994,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.122178140844994,"endHours":27.122178140844994,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.122178140844994,"endHours":28.122178140844994,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.122178140844994,"endHours":29.122178140844994,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.122178140844994,"endHours":30.122178140844994,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.122178140844994,"endHours":31.122178140844994,"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","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":-23.363669647841625,"eotMinutes":3.253368877108411,"ayanamsa":26.1574}},"calendars":{"vikram_samvat":2221,"vikram_samvatsara":"Īśvara","saka_samvat":2086,"saka_samvatsara":"Raktākṣī","bengali_samvat":1571,"malayalam_era":1340,"nanakshahi_year":695,"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 Tṛtīyā · Vikram 2221 Īśvara · Śaka 2086 Raktākṣī"},"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":[]},"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 17, 2164 CE · Ṛṣikeśa · Vidhyamitra","description":"December 17, 2164 CE for Ṛṣikeśa: Śukla Tṛtīyā, sūryodaya 07:07, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2164-12-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2164-12-17","sa":"https://sa.vidhyamitra.com/city/rishikesh/2164-12-17","hi":"https://hi.vidhyamitra.com/city/rishikesh/2164-12-17","x-default":"https://vidhyamitra.com/city/rishikesh/2164-12-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T22:58:56.825Z","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":"2026-05-30T22:58:56.825Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T22:58:56.825Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}