{"id":"vidhyamitra:city-day:rishikesh:2169-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2169-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2169-09-20","date_display":"September 20, 2169 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":2169,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513533.770833,"kali_year":5271,"ahargana":1925068.2708,"sun":{"sidereal_longitude":150.13,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":138.4898,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.3598,"elapsed_within_tithi_degrees":0.3598},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":138.4898,"elapsed_within_degrees":5.1565},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.6198},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2169,"month":9,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513533.770833,"ahargana":1925068.2708,"kali_year":5271,"ayanamsa_lahiri":26.2238,"grahas":{"sun":{"sidereal_longitude":151.27488400000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":138.32368400000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":4.3993},"mars":{"sidereal_longitude":94.67878400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":143.01988400000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":126.72038399999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":132.65698400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":290.65578400000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":60.6189,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":240.6189,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2169,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513533.770833,"kali_year":5271,"ahargana":1925068.2708,"sun":{"sidereal_longitude":150.13,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":138.4898,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.3598,"elapsed_within_tithi_degrees":0.3598},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":138.4898,"elapsed_within_degrees":5.1565},"yoga":{"number":22,"name":"Sādhya","sum_longitude":288.6198},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.399,"elongation":11.64},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.399,"opposition_distance":168.36}},"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":12.205240386236964,"dayLengthDisplay":"12 Hours 12 Mins 19 Secs","nightLengthDisplay":"11 Hours 47 Mins 41 Secs","moonriseLocal":"05:01","moonsetLocal":"17:35","rahuKala":{"name":"Rāhu Kāla","start":"12:10","end":"13:41","startHours":12.159711420640761,"endHours":13.685366468920382,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:35","end":"09:07","startHours":7.582746275801901,"endHours":9.108401324081521,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:38","end":"12:10","startHours":10.63405637236114,"endHours":12.159711420640761,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:19","startHours":8.90498065097757,"endHours":9.31182199718547,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:53","startHours":6.565642910282153,"endHours":6.891115987248472,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:34","startHours":11.752870074432863,"endHours":12.566552766848659,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:26","end":"05:15","startHours":4.429725842690685,"endHours":5.243408535106482,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:02","end":"06:03","startHours":5.039987862002533,"endHours":6.05709122752228,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"15:00","startHours":14.193918151680256,"endHours":15.007600844096054,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.062331613759245,"endHours":18.462331613759243,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:46","startHours":18.262331613759244,"endHours":18.770883296519116,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.012331613759244,"endHours":19.762331613759244,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:34","startHours":23.752870074432863,"endHours":24.56655276684866,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:03","end":"07:35","startHours":6.05709122752228,"endHours":7.582746275801901,"quality":"auspicious"},{"name":"Amṛta","start":"07:35","end":"09:07","startHours":7.582746275801901,"endHours":9.108401324081521,"quality":"auspicious"},{"name":"Kāla","start":"09:07","end":"10:38","startHours":9.108401324081521,"endHours":10.63405637236114,"quality":"inauspicious"},{"name":"Śubha","start":"10:38","end":"12:10","startHours":10.63405637236114,"endHours":12.159711420640761,"quality":"auspicious"},{"name":"Roga","start":"12:10","end":"13:41","startHours":12.159711420640761,"endHours":13.685366468920382,"quality":"inauspicious"},{"name":"Udveg","start":"13:41","end":"15:13","startHours":13.685366468920382,"endHours":15.211021517200003,"quality":"inauspicious"},{"name":"Chala","start":"15:13","end":"16:44","startHours":15.211021517200003,"endHours":16.736676565479623,"quality":"neutral"},{"name":"Labha","start":"16:44","end":"18:16","startHours":16.736676565479623,"endHours":18.262331613759244,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:16","end":"19:44","startHours":18.262331613759244,"endHours":19.736676565479623,"quality":"inauspicious"},{"name":"Chala","start":"19:44","end":"21:13","startHours":19.736676565479623,"endHours":21.211021517200003,"quality":"neutral"},{"name":"Labha","start":"21:13","end":"22:41","startHours":21.211021517200003,"endHours":22.685366468920382,"quality":"auspicious"},{"name":"Amṛta","start":"22:41","end":"00:10","startHours":22.685366468920382,"endHours":24.15971142064076,"quality":"auspicious"},{"name":"Kāla","start":"00:10","end":"01:38","startHours":24.15971142064076,"endHours":25.63405637236114,"quality":"inauspicious"},{"name":"Śubha","start":"01:38","end":"03:07","startHours":25.63405637236114,"endHours":27.10840132408152,"quality":"auspicious"},{"name":"Roga","start":"03:07","end":"04:35","startHours":27.10840132408152,"endHours":28.582746275801902,"quality":"inauspicious"},{"name":"Udveg","start":"04:35","end":"06:03","startHours":28.582746275801902,"endHours":30.057091227522278,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.05709122752228,"endHours":7.05709122752228,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.05709122752228,"endHours":8.05709122752228,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.05709122752228,"endHours":9.05709122752228,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.05709122752228,"endHours":10.05709122752228,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.05709122752228,"endHours":11.05709122752228,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.05709122752228,"endHours":12.05709122752228,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.05709122752228,"endHours":13.05709122752228,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.05709122752228,"endHours":14.05709122752228,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.05709122752228,"endHours":15.05709122752228,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.05709122752228,"endHours":16.057091227522278,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.057091227522278,"endHours":17.057091227522278,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.057091227522278,"endHours":18.057091227522278,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.057091227522278,"endHours":19.057091227522278,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.057091227522278,"endHours":20.057091227522278,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.057091227522278,"endHours":21.057091227522278,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.057091227522278,"endHours":22.057091227522278,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.057091227522278,"endHours":23.057091227522278,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.057091227522278,"endHours":24.057091227522278,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.057091227522278,"endHours":25.057091227522278,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.057091227522278,"endHours":26.057091227522278,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.057091227522278,"endHours":27.057091227522278,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.057091227522278,"endHours":28.057091227522278,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.057091227522278,"endHours":29.057091227522278,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.057091227522278,"endHours":30.057091227522278,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":0.9945885384555649,"eotMinutes":7.346914761554353,"ayanamsa":26.2238}},"calendars":{"vikram_samvat":2226,"vikram_samvatsara":"Citrabhānu","saka_samvat":2091,"saka_samvatsara":"Śukla","bengali_samvat":1576,"malayalam_era":1345,"nanakshahi_year":700,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","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":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Amāvasyā · Vikram 2226 Citrabhānu · Śaka 2091 Śukla"},"festivals":[{"id":"mahalaya-amavasya","name":"Mahālaya Amāvasyā (Sarvapitṛ Amāvasyā)","name_sanskrit":"महालय अमावस्या","tradition":"Pan-Hindu","associated_deity":"Pitṛ-deva","significance":"Final day of Pitṛ-Pakṣa; tarpaṇa for all ancestors.","vrata":true,"detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":1},{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi_ingress":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 September 20, 2169 CE · Ṛṣikeśa · Vidhyamitra","description":"September 20, 2169 CE for Ṛṣikeśa: Kṛṣṇa Amāvasyā, sūryodaya 06:03, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2169-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2169-09-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2169-09-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2169-09-20","x-default":"https://vidhyamitra.com/city/rishikesh/2169-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:47:07.630Z","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":"2026-06-01T23:47:07.630Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:47:07.630Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}