{"id":"vidhyamitra:city-day:rishikesh:1945-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1945-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1945-09-20","date_display":"September 20, 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":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431718.770833,"kali_year":5047,"ahargana":1843253.2708,"sun":{"sidereal_longitude":153.017,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":308.2686,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.2515,"elapsed_within_tithi_degrees":11.2515},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.2686,"elapsed_within_degrees":1.6019},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":101.2856},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":1945,"month":9,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2431718.770833,"ahargana":1843253.2708,"kali_year":5047,"ayanamsa_lahiri":23.0947,"grahas":{"sun":{"sidereal_longitude":153.62241800000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":308.5491179999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-3.5781},"mars":{"sidereal_longitude":74.644518,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":143.94561799999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":163.36591799999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":122.09231799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":90.10891800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":75.5714,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":255.5714,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva 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":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2431718.770833,"kali_year":5047,"ahargana":1843253.2708,"sun":{"sidereal_longitude":153.017,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":308.2686,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.2515,"elapsed_within_tithi_degrees":11.2515},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.2686,"elapsed_within_degrees":1.6019},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":101.2856},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.578,"elongation":155.252},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.578,"opposition_distance":24.748}},"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":"06:03","sunsetLocal":"18:16","solarNoonLocal":"12:10","dayLengthHours":12.229261340138464,"dayLengthDisplay":"12 Hours 13 Mins 45 Secs","nightLengthDisplay":"11 Hours 46 Mins 15 Secs","moonriseLocal":"16:52","moonsetLocal":"04:06","rahuKala":{"name":"Rāhu Kāla","start":"13:41","end":"15:13","startHours":13.688369088158069,"endHours":15.217026755675377,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:03","end":"07:34","startHours":6.04508075057153,"endHours":7.573738418088838,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:06","end":"10:38","startHours":9.102396085606145,"endHours":10.631053753123453,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:18","startHours":8.898575063270505,"endHours":9.306217107941787,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:53","startHours":6.554633306410633,"endHours":6.880746942147659,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:34","startHours":11.752069375969478,"endHours":12.567353465312044,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:25","end":"05:14","startHours":4.414512571886402,"endHours":5.229796661228965,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:02","end":"06:03","startHours":5.025975638893325,"endHours":6.04508075057153,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"15:01","startHours":14.197921643997173,"endHours":15.013205733339737,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.074342090709994,"endHours":18.474342090709992,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:47","startHours":18.274342090709993,"endHours":18.783894646549097,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.024342090709993,"endHours":19.774342090709993,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:34","startHours":23.75206937596948,"endHours":24.567353465312042,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:03","end":"07:34","startHours":6.04508075057153,"endHours":7.573738418088838,"quality":"auspicious"},{"name":"Roga","start":"07:34","end":"09:06","startHours":7.573738418088838,"endHours":9.102396085606145,"quality":"inauspicious"},{"name":"Udveg","start":"09:06","end":"10:38","startHours":9.102396085606145,"endHours":10.631053753123453,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:10","startHours":10.631053753123453,"endHours":12.159711420640761,"quality":"neutral"},{"name":"Labha","start":"12:10","end":"13:41","startHours":12.159711420640761,"endHours":13.688369088158069,"quality":"auspicious"},{"name":"Amṛta","start":"13:41","end":"15:13","startHours":13.688369088158069,"endHours":15.217026755675377,"quality":"auspicious"},{"name":"Kāla","start":"15:13","end":"16:45","startHours":15.217026755675377,"endHours":16.745684423192685,"quality":"inauspicious"},{"name":"Śubha","start":"16:45","end":"18:16","startHours":16.745684423192685,"endHours":18.274342090709993,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:16","end":"19:45","startHours":18.274342090709993,"endHours":19.745684423192685,"quality":"auspicious"},{"name":"Kāla","start":"19:45","end":"21:13","startHours":19.745684423192685,"endHours":21.217026755675377,"quality":"inauspicious"},{"name":"Śubha","start":"21:13","end":"22:41","startHours":21.217026755675377,"endHours":22.68836908815807,"quality":"auspicious"},{"name":"Roga","start":"22:41","end":"00:10","startHours":22.68836908815807,"endHours":24.15971142064076,"quality":"inauspicious"},{"name":"Udveg","start":"00:10","end":"01:38","startHours":24.15971142064076,"endHours":25.631053753123453,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:06","startHours":25.631053753123453,"endHours":27.102396085606145,"quality":"neutral"},{"name":"Labha","start":"03:06","end":"04:34","startHours":27.102396085606145,"endHours":28.573738418088837,"quality":"auspicious"},{"name":"Amṛta","start":"04:34","end":"06:03","startHours":28.573738418088837,"endHours":30.04508075057153,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.04508075057153,"endHours":7.04508075057153,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.04508075057153,"endHours":8.045080750571529,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.045080750571529,"endHours":9.045080750571529,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.045080750571529,"endHours":10.045080750571529,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.045080750571529,"endHours":11.045080750571529,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.045080750571529,"endHours":12.045080750571529,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.045080750571529,"endHours":13.045080750571529,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.045080750571529,"endHours":14.045080750571529,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.045080750571529,"endHours":15.045080750571529,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.045080750571529,"endHours":16.04508075057153,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.04508075057153,"endHours":17.04508075057153,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.04508075057153,"endHours":18.04508075057153,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.04508075057153,"endHours":19.04508075057153,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.04508075057153,"endHours":20.04508075057153,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.04508075057153,"endHours":21.04508075057153,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.04508075057153,"endHours":22.04508075057153,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.04508075057153,"endHours":23.04508075057153,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.04508075057153,"endHours":24.04508075057153,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.04508075057153,"endHours":25.04508075057153,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.04508075057153,"endHours":26.04508075057153,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.04508075057153,"endHours":27.04508075057153,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.04508075057153,"endHours":28.04508075057153,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.04508075057153,"endHours":29.04508075057153,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.04508075057153,"endHours":30.04508075057153,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":1.3051072813727038,"eotMinutes":7.346914761554353,"ayanamsa":23.0947}},"calendars":{"vikram_samvat":2002,"vikram_samvatsara":"Vilambī","saka_samvat":1867,"saka_samvatsara":"Pārthiva","bengali_samvat":1352,"malayalam_era":1121,"nanakshahi_year":476,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Trayodaśī · Vikram 2002 Vilambī · Śaka 1867 Pārthiva"},"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":"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 September 20, 1945 CE · Ṛṣikeśa · Vidhyamitra","description":"September 20, 1945 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 06:03, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1945-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1945-09-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/1945-09-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/1945-09-20","x-default":"https://vidhyamitra.com/city/rishikesh/1945-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:22:04.698Z","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":"2026-06-02T19:22:04.698Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:22:04.698Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}