{"id":"vidhyamitra:city-day:rishikesh:2163-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2163-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2163-12-31","date_display":"December 31, 2163 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":2163,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511443.770833,"kali_year":5265,"ahargana":1922978.2708,"sun":{"sidereal_longitude":252.294,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":322.9565,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":70.6625,"elapsed_within_tithi_degrees":10.6625},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":322.9565,"elapsed_within_degrees":2.9565},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":215.2505},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2163,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511443.770833,"ahargana":1922978.2708,"kali_year":5265,"ayanamsa_lahiri":26.1439,"grahas":{"sun":{"sidereal_longitude":252.949837,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":326.84733700000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":2.1387},"mars":{"sidereal_longitude":18.108037000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":236.26923699999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":294.128737,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":293.3177370000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":232.63443700000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":171.3572,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":351.3572,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2163,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511443.770833,"kali_year":5265,"ahargana":1922978.2708,"sun":{"sidereal_longitude":252.294,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":322.9565,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":70.6625,"elapsed_within_tithi_degrees":10.6625},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":322.9565,"elapsed_within_degrees":2.9565},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":215.2505},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.139,"elongation":70.662},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.139,"opposition_distance":109.338}},"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":"07:13","sunsetLocal":"17:27","solarNoonLocal":"12:20","dayLengthHours":10.23373364184748,"dayLengthDisplay":"10 Hours 14 Mins 01 Secs","nightLengthDisplay":"13 Hours 45 Mins 59 Secs","moonriseLocal":"11:20","moonsetLocal":"23:12","rahuKala":{"name":"Rāhu Kāla","start":"09:47","end":"11:03","startHours":9.777997171601552,"endHours":11.057213876832485,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:37","end":"14:54","startHours":13.615647287294355,"endHours":14.894863992525291,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:13","end":"08:30","startHours":7.219563761139681,"endHours":8.498780466370615,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.607434944237426,"endHours":9.948559398965676,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:55","startHours":7.645969329549993,"endHours":7.918868893332592,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:41","startHours":11.995306127335173,"endHours":12.67755503679167,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.855065942226684,"endHours":6.537314851683182,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.366752624319058,"endHours":7.219563761139681,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:43","startHours":14.042052855704668,"endHours":14.724301765161167,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.25329740298716,"endHours":17.65329740298716,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.45329740298716,"endHours":17.87970297139747,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.20329740298716,"endHours":18.95329740298716,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:41","startHours":23.995306127335173,"endHours":24.67755503679167,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:13","end":"08:30","startHours":7.219563761139681,"endHours":8.498780466370615,"quality":"inauspicious"},{"name":"Śubha","start":"08:30","end":"09:47","startHours":8.498780466370615,"endHours":9.777997171601552,"quality":"auspicious"},{"name":"Roga","start":"09:47","end":"11:03","startHours":9.777997171601552,"endHours":11.057213876832485,"quality":"inauspicious"},{"name":"Udveg","start":"11:03","end":"12:20","startHours":11.057213876832485,"endHours":12.336430582063421,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"13:37","startHours":12.336430582063421,"endHours":13.615647287294355,"quality":"neutral"},{"name":"Labha","start":"13:37","end":"14:54","startHours":13.615647287294355,"endHours":14.894863992525291,"quality":"auspicious"},{"name":"Amṛta","start":"14:54","end":"16:10","startHours":14.894863992525291,"endHours":16.174080697756224,"quality":"auspicious"},{"name":"Kāla","start":"16:10","end":"17:27","startHours":16.174080697756224,"endHours":17.45329740298716,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:27","end":"19:10","startHours":17.45329740298716,"endHours":19.174080697756224,"quality":"auspicious"},{"name":"Amṛta","start":"19:10","end":"20:54","startHours":19.174080697756224,"endHours":20.89486399252529,"quality":"auspicious"},{"name":"Kāla","start":"20:54","end":"22:37","startHours":20.89486399252529,"endHours":22.615647287294358,"quality":"inauspicious"},{"name":"Śubha","start":"22:37","end":"00:20","startHours":22.615647287294358,"endHours":24.33643058206342,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"02:03","startHours":24.33643058206342,"endHours":26.057213876832485,"quality":"inauspicious"},{"name":"Udveg","start":"02:03","end":"03:47","startHours":26.057213876832485,"endHours":27.77799717160155,"quality":"inauspicious"},{"name":"Chala","start":"03:47","end":"05:30","startHours":27.77799717160155,"endHours":29.49878046637062,"quality":"neutral"},{"name":"Labha","start":"05:30","end":"07:13","startHours":29.49878046637062,"endHours":31.219563761139682,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.219563761139681,"endHours":8.219563761139682,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.219563761139682,"endHours":9.219563761139682,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.219563761139682,"endHours":10.219563761139682,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.219563761139682,"endHours":11.219563761139682,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.219563761139682,"endHours":12.219563761139682,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.219563761139682,"endHours":13.219563761139682,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.219563761139682,"endHours":14.219563761139682,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.219563761139682,"endHours":15.219563761139682,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.219563761139682,"endHours":16.219563761139682,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.219563761139682,"endHours":17.219563761139682,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.219563761139682,"endHours":18.219563761139682,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.219563761139682,"endHours":19.219563761139682,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.219563761139682,"endHours":20.219563761139682,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.219563761139682,"endHours":21.219563761139682,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.219563761139682,"endHours":22.219563761139682,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.219563761139682,"endHours":23.219563761139682,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.219563761139682,"endHours":24.219563761139682,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.219563761139682,"endHours":25.219563761139682,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.219563761139682,"endHours":26.219563761139682,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.219563761139682,"endHours":27.219563761139682,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.219563761139682,"endHours":28.219563761139682,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.219563761139682,"endHours":29.219563761139682,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.219563761139682,"endHours":30.219563761139682,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.219563761139682,"endHours":31.219563761139682,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.124686636341924,"eotMinutes":-3.2562349238053434,"ayanamsa":26.1439}},"calendars":{"vikram_samvat":2220,"vikram_samvatsara":"Dhātṛ","saka_samvat":2085,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1570,"malayalam_era":1339,"nanakshahi_year":694,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ṣaṣṭhī · Vikram 2220 Dhātṛ · Śaka 2085 Rudhirodgāri"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 31, 2163 CE · Ṛṣikeśa · Vidhyamitra","description":"December 31, 2163 CE for Ṛṣikeśa: Śukla Ṣaṣṭhī, sūryodaya 07:13, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2163-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2163-12-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2163-12-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2163-12-31","x-default":"https://vidhyamitra.com/city/rishikesh/2163-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T09:46:22.544Z","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":"2026-05-31T09:46:22.544Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T09:46:22.544Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}