{"id":"vidhyamitra:city-day:rishikesh:1945-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1945-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1945-01-21","date_display":"January 21, 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":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431476.770833,"kali_year":5046,"ahargana":1843011.2708,"sun":{"sidereal_longitude":277.6362,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":6.7543,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":89.118,"elapsed_within_tithi_degrees":5.118},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":6.7543,"elapsed_within_degrees":6.7543},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.3905},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"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":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2431476.770833,"ahargana":1843011.2708,"kali_year":5046,"ayanamsa_lahiri":23.0855,"grahas":{"sun":{"sidereal_longitude":277.5670640000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":8.175264000000027,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":-4.4521},"mars":{"sidereal_longitude":259.1476640000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":255.81256400000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":155.10656399999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":324.70066399999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":72.76326399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":88.3937,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":268.3937,"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":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431476.770833,"kali_year":5046,"ahargana":1843011.2708,"sun":{"sidereal_longitude":277.6362,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":6.7543,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":89.118,"elapsed_within_tithi_degrees":5.118},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":6.7543,"elapsed_within_degrees":6.7543},"yoga":{"number":22,"name":"Sādhya","sum_longitude":284.3905},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.452,"elongation":89.118},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.452,"opposition_distance":90.882}},"eclipse_window_40days":[{"offset_days":7,"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":"07:13","sunsetLocal":"17:44","solarNoonLocal":"12:28","dayLengthHours":10.515570232287729,"dayLengthDisplay":"10 Hours 30 Mins 56 Secs","nightLengthDisplay":"13 Hours 29 Mins 04 Secs","moonriseLocal":"12:00","moonsetLocal":"01:01","rahuKala":{"name":"Rāhu Kāla","start":"16:25","end":"17:44","startHours":16.413094357926767,"endHours":17.727540636962733,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:28","end":"13:47","startHours":12.469755520818868,"endHours":13.784201799854834,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:06","end":"16:25","startHours":15.0986480788908,"endHours":16.413094357926767,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.665603458875474,"endHours":10.016122466618397,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.650119164353658,"endHours":7.930534370547997,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.119236513075943,"endHours":12.820274528561793,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:31","startHours":5.8098943737033055,"endHours":6.510932389189154,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:13","startHours":6.335672885317692,"endHours":7.211970404675003,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.222350559533488,"endHours":14.923388575019336,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.527540636962733,"endHours":17.927540636962732,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:10","startHours":17.727540636962733,"endHours":18.165689396641387,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.477540636962733,"endHours":19.227540636962733,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.119236513075943,"endHours":24.820274528561793,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:13","end":"08:32","startHours":7.211970404675003,"endHours":8.52641668371097,"quality":"inauspicious"},{"name":"Chala","start":"08:32","end":"09:50","startHours":8.52641668371097,"endHours":9.840862962746936,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:09","startHours":9.840862962746936,"endHours":11.155309241782902,"quality":"auspicious"},{"name":"Amṛta","start":"11:09","end":"12:28","startHours":11.155309241782902,"endHours":12.469755520818868,"quality":"auspicious"},{"name":"Kāla","start":"12:28","end":"13:47","startHours":12.469755520818868,"endHours":13.784201799854834,"quality":"inauspicious"},{"name":"Śubha","start":"13:47","end":"15:06","startHours":13.784201799854834,"endHours":15.0986480788908,"quality":"auspicious"},{"name":"Roga","start":"15:06","end":"16:25","startHours":15.0986480788908,"endHours":16.413094357926767,"quality":"inauspicious"},{"name":"Udveg","start":"16:25","end":"17:44","startHours":16.413094357926767,"endHours":17.727540636962733,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:44","end":"19:25","startHours":17.727540636962733,"endHours":19.413094357926767,"quality":"auspicious"},{"name":"Roga","start":"19:25","end":"21:06","startHours":19.413094357926767,"endHours":21.0986480788908,"quality":"inauspicious"},{"name":"Udveg","start":"21:06","end":"22:47","startHours":21.0986480788908,"endHours":22.784201799854834,"quality":"inauspicious"},{"name":"Chala","start":"22:47","end":"00:28","startHours":22.784201799854834,"endHours":24.469755520818868,"quality":"neutral"},{"name":"Labha","start":"00:28","end":"02:09","startHours":24.469755520818868,"endHours":26.155309241782902,"quality":"auspicious"},{"name":"Amṛta","start":"02:09","end":"03:50","startHours":26.155309241782902,"endHours":27.840862962746936,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:32","startHours":27.840862962746936,"endHours":29.52641668371097,"quality":"inauspicious"},{"name":"Śubha","start":"05:32","end":"07:13","startHours":29.52641668371097,"endHours":31.211970404675004,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.211970404675003,"endHours":8.211970404675004,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.211970404675004,"endHours":9.211970404675004,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.211970404675004,"endHours":10.211970404675004,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.211970404675004,"endHours":11.211970404675004,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.211970404675004,"endHours":12.211970404675004,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.211970404675004,"endHours":13.211970404675004,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.211970404675004,"endHours":14.211970404675004,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.211970404675004,"endHours":15.211970404675004,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.211970404675004,"endHours":16.211970404675004,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.211970404675004,"endHours":17.211970404675004,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.211970404675004,"endHours":18.211970404675004,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.211970404675004,"endHours":19.211970404675004,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.211970404675004,"endHours":20.211970404675004,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.211970404675004,"endHours":21.211970404675004,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.211970404675004,"endHours":22.211970404675004,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.211970404675004,"endHours":23.211970404675004,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.211970404675004,"endHours":24.211970404675004,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.211970404675004,"endHours":25.211970404675004,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.211970404675004,"endHours":26.211970404675004,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.211970404675004,"endHours":27.211970404675004,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.211970404675004,"endHours":28.211970404675004,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.211970404675004,"endHours":29.211970404675004,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.211970404675004,"endHours":30.211970404675004,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.211970404675004,"endHours":31.211970404675004,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.008476408355953,"eotMinutes":-11.255731249132124,"ayanamsa":23.0855}},"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 Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","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 Śukla Aṣṭamī · Vikram 2002 Vilambī · Śaka 1867 Pārthiva"},"festivals":[{"id":"bhishma-ashtami","name":"Bhīṣmāṣṭamī","name_sanskrit":"भीष्माष्टमी","tradition":"Pan-Hindu","associated_deity":"Bhīṣma Pitāmaha","significance":"Bhīṣma's mahaprasthāna anniversary (Māgha Śukla 8); Bhīṣma-tarpaṇa.","vrata":true,"detection":{"tithi_number":8,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2,"sources":["Mahābhārata, Anuśāsana Parva"]}],"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":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5},{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 21, 1945 CE · Ṛṣikeśa · Vidhyamitra","description":"January 21, 1945 CE for Ṛṣikeśa: Śukla Aṣṭamī, sūryodaya 07:13, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1945-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1945-01-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/1945-01-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/1945-01-21","x-default":"https://vidhyamitra.com/city/rishikesh/1945-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T06:04:02.415Z","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":"2026-06-01T06:04:02.415Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T06:04:02.415Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}