{"id":"vidhyamitra:city-day:rishikesh:1945-01-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1945-01-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1945-01-14","date_display":"January 14, 1945 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":1945,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431469.770833,"kali_year":5046,"ahargana":1843004.2708,"sun":{"sidereal_longitude":270.4531,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":266.9488,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":356.4957,"elapsed_within_tithi_degrees":8.4957},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":266.9488,"elapsed_within_degrees":0.2822},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.402},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1945,"month":1,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2431469.770833,"ahargana":1843004.2708,"kali_year":5046,"ayanamsa_lahiri":23.0852,"grahas":{"sun":{"sidereal_longitude":270.439932,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":268.2527319999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false,"latitude":0.1424},"mars":{"sidereal_longitude":253.87543200000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":247.48823199999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":155.226632,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":316.981132,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":73.28333199999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":88.7646,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":268.7646,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"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":1945,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431469.770833,"kali_year":5046,"ahargana":1843004.2708,"sun":{"sidereal_longitude":270.4531,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":266.9488,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":356.4957,"elapsed_within_tithi_degrees":8.4957},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":266.9488,"elapsed_within_degrees":0.2822},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.402},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.142,"elongation":3.504},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.142,"opposition_distance":176.496}},"eclipse_window_40days":[{"offset_days":14,"type":"lunar","occurs":true,"moon_latitude":1.214,"opposition_distance":1.122}]},"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":"07:14","sunsetLocal":"17:38","solarNoonLocal":"12:26","dayLengthHours":10.392554204288908,"dayLengthDisplay":"10 Hours 23 Mins 33 Secs","nightLengthDisplay":"13 Hours 36 Mins 27 Secs","moonriseLocal":"07:08","moonsetLocal":"17:27","rahuKala":{"name":"Rāhu Kāla","start":"16:20","end":"17:38","startHours":16.32932657659748,"endHours":17.628395852133593,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:26","end":"13:44","startHours":12.43211874998914,"endHours":13.731188025525253,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:02","end":"16:20","startHours":15.030257301061367,"endHours":16.32932657659748,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:00","startHours":9.660770962178763,"endHours":10.00718943565506,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.668864739690056,"endHours":7.945999518471093,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.085700276512844,"endHours":12.778537223465436,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.850167753939497,"endHours":6.543004700892091,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.369795464153943,"endHours":7.235841647844685,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:51","startHours":14.164211117370623,"endHours":14.857048064323218,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.428395852133594,"endHours":17.828395852133593,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.628395852133593,"endHours":18.061418943978964,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.378395852133593,"endHours":19.128395852133593,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.085700276512842,"endHours":24.778537223465438,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:14","end":"08:32","startHours":7.235841647844685,"endHours":8.5349109233808,"quality":"inauspicious"},{"name":"Chala","start":"08:32","end":"09:50","startHours":8.5349109233808,"endHours":9.833980198916912,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:08","startHours":9.833980198916912,"endHours":11.133049474453026,"quality":"auspicious"},{"name":"Amṛta","start":"11:08","end":"12:26","startHours":11.133049474453026,"endHours":12.43211874998914,"quality":"auspicious"},{"name":"Kāla","start":"12:26","end":"13:44","startHours":12.43211874998914,"endHours":13.731188025525253,"quality":"inauspicious"},{"name":"Śubha","start":"13:44","end":"15:02","startHours":13.731188025525253,"endHours":15.030257301061367,"quality":"auspicious"},{"name":"Roga","start":"15:02","end":"16:20","startHours":15.030257301061367,"endHours":16.32932657659748,"quality":"inauspicious"},{"name":"Udveg","start":"16:20","end":"17:38","startHours":16.32932657659748,"endHours":17.628395852133593,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:38","end":"19:20","startHours":17.628395852133593,"endHours":19.32932657659748,"quality":"auspicious"},{"name":"Roga","start":"19:20","end":"21:02","startHours":19.32932657659748,"endHours":21.030257301061365,"quality":"inauspicious"},{"name":"Udveg","start":"21:02","end":"22:44","startHours":21.030257301061365,"endHours":22.731188025525253,"quality":"inauspicious"},{"name":"Chala","start":"22:44","end":"00:26","startHours":22.731188025525253,"endHours":24.43211874998914,"quality":"neutral"},{"name":"Labha","start":"00:26","end":"02:08","startHours":24.43211874998914,"endHours":26.133049474453024,"quality":"auspicious"},{"name":"Amṛta","start":"02:08","end":"03:50","startHours":26.133049474453024,"endHours":27.83398019891691,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:32","startHours":27.83398019891691,"endHours":29.5349109233808,"quality":"inauspicious"},{"name":"Śubha","start":"05:32","end":"07:14","startHours":29.5349109233808,"endHours":31.235841647844687,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.235841647844685,"endHours":8.235841647844685,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.235841647844685,"endHours":9.235841647844685,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.235841647844685,"endHours":10.235841647844685,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.235841647844685,"endHours":11.235841647844685,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.235841647844685,"endHours":12.235841647844685,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.235841647844685,"endHours":13.235841647844685,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.235841647844685,"endHours":14.235841647844685,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.235841647844685,"endHours":15.235841647844685,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.235841647844685,"endHours":16.235841647844687,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.235841647844687,"endHours":17.235841647844687,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.235841647844687,"endHours":18.235841647844687,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.235841647844687,"endHours":19.235841647844687,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.235841647844687,"endHours":20.235841647844687,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.235841647844687,"endHours":21.235841647844687,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.235841647844687,"endHours":22.235841647844687,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.235841647844687,"endHours":23.235841647844687,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.235841647844687,"endHours":24.235841647844687,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.235841647844687,"endHours":25.235841647844687,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.235841647844687,"endHours":26.235841647844687,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.235841647844687,"endHours":27.235841647844687,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.235841647844687,"endHours":28.235841647844687,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.235841647844687,"endHours":29.235841647844687,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.235841647844687,"endHours":30.235841647844687,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.235841647844687,"endHours":31.235841647844687,"planetary_lord":"Jupiter"}],"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","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.387580537975204,"eotMinutes":-8.99752499934842,"ayanamsa":23.0852}},"calendars":{"vikram_samvat":2002,"vikram_samvatsara":"Vilambī","saka_samvat":1867,"saka_samvatsara":"Pārthiva","bengali_samvat":1352,"malayalam_era":1121,"nanakshahi_year":476,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Amāvasyā · Vikram 2002 Vilambī · Śaka 1867 Pārthiva"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","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 January 14, 1945 CE · Ṛṣikeśa · Vidhyamitra","description":"January 14, 1945 CE for Ṛṣikeśa: Kṛṣṇa Amāvasyā, sūryodaya 07:14, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1945-01-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1945-01-14","sa":"https://sa.vidhyamitra.com/city/rishikesh/1945-01-14","hi":"https://hi.vidhyamitra.com/city/rishikesh/1945-01-14","x-default":"https://vidhyamitra.com/city/rishikesh/1945-01-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:39:27.679Z","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":"2026-05-31T15:39:27.679Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:39:27.679Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}