{"id":"vidhyamitra:city-day:rishikesh:2093-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2093-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2093-12-31","date_display":"December 31, 2093 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":2093,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485877.770833,"kali_year":5195,"ahargana":1897412.2708,"sun":{"sidereal_longitude":254.4662,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":56.2366,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.7704,"elapsed_within_tithi_degrees":5.7704},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.2366,"elapsed_within_degrees":2.9033},"yoga":{"number":24,"name":"Śukla","sum_longitude":310.7028},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2093,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485877.770833,"ahargana":1897412.2708,"kali_year":5195,"ayanamsa_lahiri":25.1661,"grahas":{"sun":{"sidereal_longitude":254.937546,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":56.57924600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":-2.2299},"mars":{"sidereal_longitude":295.470046,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":267.53684599999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":329.894546,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":233.20814599999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":100.12364600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":85.9669,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":265.9669,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2093,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485877.770833,"kali_year":5195,"ahargana":1897412.2708,"sun":{"sidereal_longitude":254.4662,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":56.2366,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.7704,"elapsed_within_tithi_degrees":5.7704},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.2366,"elapsed_within_degrees":2.9033},"yoga":{"number":24,"name":"Śukla","sum_longitude":310.7028},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.23,"elongation":161.77},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.23,"opposition_distance":18.23}},"eclipse_window_40days":[{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":-0.728,"elongation":2.448}]},"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":10.240483547189484,"dayLengthDisplay":"10 Hours 14 Mins 26 Secs","nightLengthDisplay":"13 Hours 45 Mins 34 Secs","moonriseLocal":"16:06","moonsetLocal":"06:07","rahuKala":{"name":"Rāhu Kāla","start":"13:37","end":"14:54","startHours":13.616491025462107,"endHours":14.896551468860793,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:13","end":"08:30","startHours":7.216188808468679,"endHours":8.496249251867365,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:47","end":"11:03","startHours":9.77630969526605,"endHours":11.056370138664736,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.60563496947956,"endHours":9.94698442105254,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:55","startHours":7.642875622934908,"endHours":7.915955184193295,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:41","startHours":11.995081130490439,"endHours":12.677780033636404,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.850791002176749,"endHours":6.533489905322714,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.362815179536223,"endHours":7.216188808468679,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:44","startHours":14.043177839928335,"endHours":14.7258767430743,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.256672355658164,"endHours":17.656672355658163,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.456672355658164,"endHours":17.883359170124393,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.206672355658164,"endHours":18.956672355658164,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:41","startHours":23.995081130490437,"endHours":24.677780033636406,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:13","end":"08:30","startHours":7.216188808468679,"endHours":8.496249251867365,"quality":"auspicious"},{"name":"Roga","start":"08:30","end":"09:47","startHours":8.496249251867365,"endHours":9.77630969526605,"quality":"inauspicious"},{"name":"Udveg","start":"09:47","end":"11:03","startHours":9.77630969526605,"endHours":11.056370138664736,"quality":"inauspicious"},{"name":"Chala","start":"11:03","end":"12:20","startHours":11.056370138664736,"endHours":12.336430582063421,"quality":"neutral"},{"name":"Labha","start":"12:20","end":"13:37","startHours":12.336430582063421,"endHours":13.616491025462107,"quality":"auspicious"},{"name":"Amṛta","start":"13:37","end":"14:54","startHours":13.616491025462107,"endHours":14.896551468860793,"quality":"auspicious"},{"name":"Kāla","start":"14:54","end":"16:11","startHours":14.896551468860793,"endHours":16.176611912259478,"quality":"inauspicious"},{"name":"Śubha","start":"16:11","end":"17:27","startHours":16.176611912259478,"endHours":17.456672355658164,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:27","end":"19:11","startHours":17.456672355658164,"endHours":19.176611912259478,"quality":"auspicious"},{"name":"Kāla","start":"19:11","end":"20:54","startHours":19.176611912259478,"endHours":20.896551468860793,"quality":"inauspicious"},{"name":"Śubha","start":"20:54","end":"22:37","startHours":20.896551468860793,"endHours":22.616491025462107,"quality":"auspicious"},{"name":"Roga","start":"22:37","end":"00:20","startHours":22.616491025462107,"endHours":24.33643058206342,"quality":"inauspicious"},{"name":"Udveg","start":"00:20","end":"02:03","startHours":24.33643058206342,"endHours":26.056370138664736,"quality":"inauspicious"},{"name":"Chala","start":"02:03","end":"03:47","startHours":26.056370138664736,"endHours":27.77630969526605,"quality":"neutral"},{"name":"Labha","start":"03:47","end":"05:30","startHours":27.77630969526605,"endHours":29.496249251867365,"quality":"auspicious"},{"name":"Amṛta","start":"05:30","end":"07:13","startHours":29.496249251867365,"endHours":31.21618880846868,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.216188808468679,"endHours":8.21618880846868,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.21618880846868,"endHours":9.21618880846868,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.21618880846868,"endHours":10.21618880846868,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.21618880846868,"endHours":11.21618880846868,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.21618880846868,"endHours":12.21618880846868,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.21618880846868,"endHours":13.21618880846868,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.21618880846868,"endHours":14.21618880846868,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.21618880846868,"endHours":15.21618880846868,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.21618880846868,"endHours":16.21618880846868,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.21618880846868,"endHours":17.21618880846868,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.21618880846868,"endHours":18.21618880846868,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.21618880846868,"endHours":19.21618880846868,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.21618880846868,"endHours":20.21618880846868,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.21618880846868,"endHours":21.21618880846868,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.21618880846868,"endHours":22.21618880846868,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.21618880846868,"endHours":23.21618880846868,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.21618880846868,"endHours":24.21618880846868,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.21618880846868,"endHours":25.21618880846868,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.21618880846868,"endHours":26.21618880846868,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.21618880846868,"endHours":27.21618880846868,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.21618880846868,"endHours":28.21618880846868,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.21618880846868,"endHours":29.21618880846868,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.21618880846868,"endHours":30.21618880846868,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.21618880846868,"endHours":31.21618880846868,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","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":-23.051878103573543,"eotMinutes":-3.2562349238053434,"ayanamsa":25.1661}},"calendars":{"vikram_samvat":2150,"vikram_samvatsara":"Akṣaya","saka_samvat":2015,"saka_samvatsara":"Pramādī","bengali_samvat":1500,"malayalam_era":1269,"nanakshahi_year":624,"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 Caturdaśī · Vikram 2150 Akṣaya · Śaka 2015 Pramādī"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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, 2093 CE · Ṛṣikeśa · Vidhyamitra","description":"December 31, 2093 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 07:13, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2093-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2093-12-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2093-12-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2093-12-31","x-default":"https://vidhyamitra.com/city/rishikesh/2093-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T17:45:57.940Z","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":"2026-05-31T17:45:57.940Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T17:45:57.940Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}