{"id":"vidhyamitra:city-day:rishikesh:1918-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1918-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1918-12-31","date_display":"December 31, 1918 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":1918,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2421958.770833,"kali_year":5020,"ahargana":1833493.2708,"sun":{"sidereal_longitude":255.7846,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":227.8847,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.1001,"elapsed_within_tithi_degrees":8.1001},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":227.8847,"elapsed_within_degrees":1.2181},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.6694},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":1918,"month":12,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2421958.770833,"ahargana":1833493.2708,"kali_year":5020,"ayanamsa_lahiri":22.7214,"grahas":{"sun":{"sidereal_longitude":255.8335219999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":229.05602199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":-0.3776},"mars":{"sidereal_longitude":286.78072199999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":236.15342199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":78.70672200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":265.89542200000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":125.61972200000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":232.7031,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":52.7031,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":1918,"month":12,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2421958.770833,"kali_year":5020,"ahargana":1833493.2708,"sun":{"sidereal_longitude":255.7846,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":227.8847,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":332.1001,"elapsed_within_tithi_degrees":8.1001},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":227.8847,"elapsed_within_degrees":1.2181},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.6694},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.378,"elongation":27.9},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.378,"opposition_distance":152.1}},"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":10.23041601968643,"dayLengthDisplay":"10 Hours 13 Mins 49 Secs","nightLengthDisplay":"13 Hours 46 Mins 11 Secs","moonriseLocal":"05:25","moonsetLocal":"15:41","rahuKala":{"name":"Rāhu Kāla","start":"14:54","end":"16:10","startHours":14.894034586985029,"endHours":16.172836589445833,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:47","end":"11:03","startHours":9.778826577141814,"endHours":11.057628579602618,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:20","end":"13:37","startHours":12.336430582063421,"endHours":13.615232584524225,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.608319643480375,"endHours":9.949333510803255,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:55","startHours":7.647489906373807,"endHours":7.920301000232112,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:41","startHours":11.995416714740541,"endHours":12.677444449386302,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.857167102928682,"endHours":6.539194837574445,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.3686879039130035,"endHours":7.221222572220206,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:43","startHours":14.041499918677827,"endHours":14.72352765332359,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.251638591906637,"endHours":17.651638591906636,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.451638591906637,"endHours":17.877905926060237,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.201638591906637,"endHours":18.951638591906637,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:41","startHours":23.99541671474054,"endHours":24.677444449386304,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:13","end":"08:30","startHours":7.221222572220206,"endHours":8.50002457468101,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:47","startHours":8.50002457468101,"endHours":9.778826577141814,"quality":"inauspicious"},{"name":"Chala","start":"09:47","end":"11:03","startHours":9.778826577141814,"endHours":11.057628579602618,"quality":"neutral"},{"name":"Labha","start":"11:03","end":"12:20","startHours":11.057628579602618,"endHours":12.336430582063421,"quality":"auspicious"},{"name":"Amṛta","start":"12:20","end":"13:37","startHours":12.336430582063421,"endHours":13.615232584524225,"quality":"auspicious"},{"name":"Kāla","start":"13:37","end":"14:54","startHours":13.615232584524225,"endHours":14.894034586985029,"quality":"inauspicious"},{"name":"Śubha","start":"14:54","end":"16:10","startHours":14.894034586985029,"endHours":16.172836589445833,"quality":"auspicious"},{"name":"Roga","start":"16:10","end":"17:27","startHours":16.172836589445833,"endHours":17.451638591906637,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:27","end":"19:10","startHours":17.451638591906637,"endHours":19.172836589445833,"quality":"inauspicious"},{"name":"Śubha","start":"19:10","end":"20:54","startHours":19.172836589445833,"endHours":20.89403458698503,"quality":"auspicious"},{"name":"Roga","start":"20:54","end":"22:37","startHours":20.89403458698503,"endHours":22.615232584524225,"quality":"inauspicious"},{"name":"Udveg","start":"22:37","end":"00:20","startHours":22.615232584524225,"endHours":24.33643058206342,"quality":"inauspicious"},{"name":"Chala","start":"00:20","end":"02:03","startHours":24.33643058206342,"endHours":26.057628579602618,"quality":"neutral"},{"name":"Labha","start":"02:03","end":"03:47","startHours":26.057628579602618,"endHours":27.778826577141814,"quality":"auspicious"},{"name":"Amṛta","start":"03:47","end":"05:30","startHours":27.778826577141814,"endHours":29.50002457468101,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:13","startHours":29.50002457468101,"endHours":31.221222572220206,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.221222572220206,"endHours":8.221222572220206,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.221222572220206,"endHours":9.221222572220206,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.221222572220206,"endHours":10.221222572220206,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.221222572220206,"endHours":11.221222572220206,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.221222572220206,"endHours":12.221222572220206,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.221222572220206,"endHours":13.221222572220206,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.221222572220206,"endHours":14.221222572220206,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.221222572220206,"endHours":15.221222572220206,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.221222572220206,"endHours":16.221222572220206,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.221222572220206,"endHours":17.221222572220206,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.221222572220206,"endHours":18.221222572220206,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.221222572220206,"endHours":19.221222572220206,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.221222572220206,"endHours":20.221222572220206,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.221222572220206,"endHours":21.221222572220206,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.221222572220206,"endHours":22.221222572220206,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.221222572220206,"endHours":23.221222572220206,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.221222572220206,"endHours":24.221222572220206,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.221222572220206,"endHours":25.221222572220206,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.221222572220206,"endHours":26.221222572220206,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.221222572220206,"endHours":27.221222572220206,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.221222572220206,"endHours":28.221222572220206,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.221222572220206,"endHours":29.221222572220206,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.221222572220206,"endHours":30.221222572220206,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.221222572220206,"endHours":31.221222572220206,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Cara","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":-23.160438947144076,"eotMinutes":-3.2562349238053434,"ayanamsa":22.7214}},"calendars":{"vikram_samvat":1975,"vikram_samvatsara":"Prajāpati","saka_samvat":1840,"saka_samvatsara":"Kālayukta","bengali_samvat":1325,"malayalam_era":1094,"nanakshahi_year":449,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Kṛṣṇa Trayodaśī · Vikram 1975 Prajāpati · Śaka 1840 Kālayukta"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 31, 1918 CE · Ṛṣikeśa · Vidhyamitra","description":"December 31, 1918 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 07:13, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1918-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1918-12-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/1918-12-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/1918-12-31","x-default":"https://vidhyamitra.com/city/rishikesh/1918-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:33:43.129Z","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":"2026-05-31T20:33:43.129Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:33:43.129Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}