{"id":"vidhyamitra:city-day:rishikesh:2071-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2071-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2071-09-20","date_display":"September 20, 2071 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":2071,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477739.770833,"kali_year":5173,"ahargana":1889274.2708,"sun":{"sidereal_longitude":151.4533,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":103.5388,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":312.0855,"elapsed_within_tithi_degrees":0.0855},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":103.5388,"elapsed_within_degrees":10.2055},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.9921},"karana":{"half_tithi_index":52,"name":"Kaulava"},"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":2071,"month":9,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2477739.770833,"ahargana":1889274.2708,"kali_year":5173,"ayanamsa_lahiri":24.8549,"grahas":{"sun":{"sidereal_longitude":152.361578,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":102.280778,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":-3.6216},"mars":{"sidereal_longitude":69.827878,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":155.85187799999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":40.28547800000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":106.794378,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":184.51757799999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":157.1573,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":337.1573,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"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":2071,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477739.770833,"kali_year":5173,"ahargana":1889274.2708,"sun":{"sidereal_longitude":151.4533,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":103.5388,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":312.0855,"elapsed_within_tithi_degrees":0.0855},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":103.5388,"elapsed_within_degrees":10.2055},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.9921},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.622,"elongation":47.914},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.622,"opposition_distance":132.086}},"eclipse_window_40days":[{"offset_days":19,"type":"lunar","occurs":true,"moon_latitude":-0.877,"opposition_distance":2.692}]},"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":12.21391412625433,"dayLengthDisplay":"12 Hours 12 Mins 50 Secs","nightLengthDisplay":"11 Hours 47 Mins 10 Secs","moonriseLocal":"02:02","moonsetLocal":"15:37","rahuKala":{"name":"Rāhu Kāla","start":"16:44","end":"18:16","startHours":16.739929217986134,"endHours":18.266668483767926,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:10","end":"13:41","startHours":12.159711420640761,"endHours":13.686450686422553,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:13","end":"16:44","startHours":15.213189952204345,"endHours":16.739929217986134,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:19","startHours":8.902667653639607,"endHours":9.309798124514751,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:53","startHours":6.561667446107527,"endHours":6.887371822807642,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:34","startHours":11.752580949765617,"endHours":12.566841891515905,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:25","end":"05:14","startHours":4.424232474013019,"endHours":5.238493415763308,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:02","end":"06:03","startHours":5.0349281803257355,"endHours":6.052754357513597,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"15:01","startHours":14.195363775016485,"endHours":15.009624716766774,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.066668483767927,"endHours":18.466668483767926,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:47","startHours":18.266668483767926,"endHours":18.775581572361858,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.016668483767926,"endHours":19.766668483767926,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:34","startHours":23.752580949765616,"endHours":24.566841891515907,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:03","end":"07:35","startHours":6.052754357513597,"endHours":7.579493623295388,"quality":"inauspicious"},{"name":"Chala","start":"07:35","end":"09:06","startHours":7.579493623295388,"endHours":9.10623288907718,"quality":"neutral"},{"name":"Labha","start":"09:06","end":"10:38","startHours":9.10623288907718,"endHours":10.63297215485897,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:10","startHours":10.63297215485897,"endHours":12.159711420640761,"quality":"auspicious"},{"name":"Kāla","start":"12:10","end":"13:41","startHours":12.159711420640761,"endHours":13.686450686422553,"quality":"inauspicious"},{"name":"Śubha","start":"13:41","end":"15:13","startHours":13.686450686422553,"endHours":15.213189952204345,"quality":"auspicious"},{"name":"Roga","start":"15:13","end":"16:44","startHours":15.213189952204345,"endHours":16.739929217986134,"quality":"inauspicious"},{"name":"Udveg","start":"16:44","end":"18:16","startHours":16.739929217986134,"endHours":18.266668483767926,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:16","end":"19:44","startHours":18.266668483767926,"endHours":19.739929217986134,"quality":"auspicious"},{"name":"Roga","start":"19:44","end":"21:13","startHours":19.739929217986134,"endHours":21.213189952204345,"quality":"inauspicious"},{"name":"Udveg","start":"21:13","end":"22:41","startHours":21.213189952204345,"endHours":22.686450686422553,"quality":"inauspicious"},{"name":"Chala","start":"22:41","end":"00:10","startHours":22.686450686422553,"endHours":24.15971142064076,"quality":"neutral"},{"name":"Labha","start":"00:10","end":"01:38","startHours":24.15971142064076,"endHours":25.63297215485897,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:06","startHours":25.63297215485897,"endHours":27.106232889077177,"quality":"auspicious"},{"name":"Kāla","start":"03:06","end":"04:35","startHours":27.106232889077177,"endHours":28.579493623295388,"quality":"inauspicious"},{"name":"Śubha","start":"04:35","end":"06:03","startHours":28.579493623295388,"endHours":30.052754357513596,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.052754357513597,"endHours":7.052754357513597,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.052754357513597,"endHours":8.052754357513596,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.052754357513596,"endHours":9.052754357513596,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.052754357513596,"endHours":10.052754357513596,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.052754357513596,"endHours":11.052754357513596,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.052754357513596,"endHours":12.052754357513596,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.052754357513596,"endHours":13.052754357513596,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.052754357513596,"endHours":14.052754357513596,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.052754357513596,"endHours":15.052754357513596,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.052754357513596,"endHours":16.052754357513596,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.052754357513596,"endHours":17.052754357513596,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.052754357513596,"endHours":18.052754357513596,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.052754357513596,"endHours":19.052754357513596,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.052754357513596,"endHours":20.052754357513596,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.052754357513596,"endHours":21.052754357513596,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.052754357513596,"endHours":22.052754357513596,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.052754357513596,"endHours":23.052754357513596,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.052754357513596,"endHours":24.052754357513596,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.052754357513596,"endHours":25.052754357513596,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.052754357513596,"endHours":26.052754357513596,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.052754357513596,"endHours":27.052754357513596,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.052754357513596,"endHours":28.052754357513596,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.052754357513596,"endHours":29.052754357513596,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.052754357513596,"endHours":30.052754357513596,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":1.1067304378440053,"eotMinutes":7.346914761554353,"ayanamsa":24.8549}},"calendars":{"vikram_samvat":2128,"vikram_samvatsara":"Krodhi","saka_samvat":1993,"saka_samvatsara":"Khara","bengali_samvat":1478,"malayalam_era":1247,"nanakshahi_year":602,"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 Dvādaśī · Vikram 2128 Krodhi · Śaka 1993 Khara"},"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":[]},"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, 2071 CE · Ṛṣikeśa · Vidhyamitra","description":"September 20, 2071 CE for Ṛṣikeśa: Kṛṣṇa Dvādaśī, sūryodaya 06:03, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2071-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2071-09-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2071-09-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2071-09-20","x-default":"https://vidhyamitra.com/city/rishikesh/2071-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T02:24:38.716Z","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":"2026-06-01T02:24:38.716Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T02:24:38.716Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}