{"id":"vidhyamitra:city-day:rishikesh:2039-09-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2039-09-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-09-17","date_display":"September 17, 2039 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":2039,"month":9,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466048.770833,"kali_year":5141,"ahargana":1877583.2708,"sun":{"sidereal_longitude":148.8045,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":131.6475,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.843,"elapsed_within_tithi_degrees":6.843},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.6475,"elapsed_within_degrees":11.6475},"yoga":{"number":22,"name":"Sādhya","sum_longitude":280.4519},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2039,"month":9,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466048.770833,"ahargana":1877583.2708,"kali_year":5141,"ayanamsa_lahiri":24.4077,"grahas":{"sun":{"sidereal_longitude":149.62995999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":133.29726,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":4.3473},"mars":{"sidereal_longitude":64.29215999999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":163.20506,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":139.48695999999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":108.09356000000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":156.27455999999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":56.6027,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":236.6027,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"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":2039,"month":9,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466048.770833,"kali_year":5141,"ahargana":1877583.2708,"sun":{"sidereal_longitude":148.8045,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":131.6475,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.843,"elapsed_within_tithi_degrees":6.843},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.6475,"elapsed_within_degrees":11.6475},"yoga":{"number":22,"name":"Sādhya","sum_longitude":280.4519},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.347,"elongation":17.157},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.347,"opposition_distance":162.843}},"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":"06:01","sunsetLocal":"18:20","solarNoonLocal":"12:11","dayLengthHours":12.311570306635964,"dayLengthDisplay":"12 Hours 18 Mins 42 Secs","nightLengthDisplay":"11 Hours 41 Mins 18 Secs","moonriseLocal":"04:42","moonsetLocal":"17:28","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:38","startHours":9.100274694084877,"endHours":10.639220982414374,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:43","end":"15:15","startHours":13.717113559073365,"endHours":15.25605984740286,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:01","end":"07:34","startHours":6.022382117425887,"endHours":7.561328405755383,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:18","startHours":8.895081855640946,"endHours":9.30546753252881,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:32","end":"06:52","startHours":6.535364213535719,"endHours":6.863672755046012,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:35","startHours":11.767781593856006,"endHours":12.588552947631735,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:12","startHours":4.380839409874425,"endHours":5.201610763650156,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:00","end":"06:01","startHours":4.996417925206224,"endHours":6.022382117425887,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:03","startHours":14.230095655183195,"endHours":15.050867008958926,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:08","end":"18:32","startHours":18.133952424061853,"endHours":18.53395242406185,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:20","end":"18:51","startHours":18.333952424061852,"endHours":18.846934520171683,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:05","end":"19:50","startHours":18.083952424061852,"endHours":19.833952424061852,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:35","startHours":23.767781593856004,"endHours":24.588552947631737,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:01","end":"07:34","startHours":6.022382117425887,"endHours":7.561328405755383,"quality":"inauspicious"},{"name":"Śubha","start":"07:34","end":"09:06","startHours":7.561328405755383,"endHours":9.100274694084877,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:38","startHours":9.100274694084877,"endHours":10.639220982414374,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:11","startHours":10.639220982414374,"endHours":12.17816727074387,"quality":"inauspicious"},{"name":"Chala","start":"12:11","end":"13:43","startHours":12.17816727074387,"endHours":13.717113559073365,"quality":"neutral"},{"name":"Labha","start":"13:43","end":"15:15","startHours":13.717113559073365,"endHours":15.25605984740286,"quality":"auspicious"},{"name":"Amṛta","start":"15:15","end":"16:48","startHours":15.25605984740286,"endHours":16.795006135732358,"quality":"auspicious"},{"name":"Kāla","start":"16:48","end":"18:20","startHours":16.795006135732358,"endHours":18.333952424061852,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:20","end":"19:48","startHours":18.333952424061852,"endHours":19.795006135732358,"quality":"auspicious"},{"name":"Amṛta","start":"19:48","end":"21:15","startHours":19.795006135732358,"endHours":21.25605984740286,"quality":"auspicious"},{"name":"Kāla","start":"21:15","end":"22:43","startHours":21.25605984740286,"endHours":22.717113559073365,"quality":"inauspicious"},{"name":"Śubha","start":"22:43","end":"00:11","startHours":22.717113559073365,"endHours":24.17816727074387,"quality":"auspicious"},{"name":"Roga","start":"00:11","end":"01:38","startHours":24.17816727074387,"endHours":25.639220982414376,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:06","startHours":25.639220982414376,"endHours":27.10027469408488,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:34","startHours":27.10027469408488,"endHours":28.561328405755383,"quality":"neutral"},{"name":"Labha","start":"04:34","end":"06:01","startHours":28.561328405755383,"endHours":30.022382117425888,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:01","end":"07:01","startHours":6.022382117425887,"endHours":7.022382117425887,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:01","end":"08:01","startHours":7.022382117425887,"endHours":8.022382117425888,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:01","end":"09:01","startHours":8.022382117425888,"endHours":9.022382117425888,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:01","end":"10:01","startHours":9.022382117425888,"endHours":10.022382117425888,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:01","end":"11:01","startHours":10.022382117425888,"endHours":11.022382117425888,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:01","end":"12:01","startHours":11.022382117425888,"endHours":12.022382117425888,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:01","end":"13:01","startHours":12.022382117425888,"endHours":13.022382117425888,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:01","end":"14:01","startHours":13.022382117425888,"endHours":14.022382117425888,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:01","end":"15:01","startHours":14.022382117425888,"endHours":15.022382117425888,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:01","end":"16:01","startHours":15.022382117425888,"endHours":16.022382117425888,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:01","end":"17:01","startHours":16.022382117425888,"endHours":17.022382117425888,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:01","end":"18:01","startHours":17.022382117425888,"endHours":18.022382117425888,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:01","end":"19:01","startHours":18.022382117425888,"endHours":19.022382117425888,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:01","end":"20:01","startHours":19.022382117425888,"endHours":20.022382117425888,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:01","end":"21:01","startHours":20.022382117425888,"endHours":21.022382117425888,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:01","end":"22:01","startHours":21.022382117425888,"endHours":22.022382117425888,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:01","end":"23:01","startHours":22.022382117425888,"endHours":23.022382117425888,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:01","end":"00:01","startHours":23.022382117425888,"endHours":24.022382117425888,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:01","end":"01:01","startHours":24.022382117425888,"endHours":25.022382117425888,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:01","end":"02:01","startHours":25.022382117425888,"endHours":26.022382117425888,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:01","end":"03:01","startHours":26.022382117425888,"endHours":27.022382117425888,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:01","end":"04:01","startHours":27.022382117425888,"endHours":28.022382117425888,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:01","end":"05:01","startHours":28.022382117425888,"endHours":29.022382117425888,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:01","end":"06:01","startHours":29.022382117425888,"endHours":30.022382117425888,"planetary_lord":"Mercury"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":2.3678123896711423,"eotMinutes":6.239563755367786,"ayanamsa":24.4077}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"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":"Siṃha (Āvaṇi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturdaśī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 17, 2039 CE · Ṛṣikeśa · Vidhyamitra","description":"September 17, 2039 CE for Ṛṣikeśa: Kṛṣṇa Caturdaśī, sūryodaya 06:01, sūryāsta 18:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2039-09-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2039-09-17","sa":"https://sa.vidhyamitra.com/city/rishikesh/2039-09-17","hi":"https://hi.vidhyamitra.com/city/rishikesh/2039-09-17","x-default":"https://vidhyamitra.com/city/rishikesh/2039-09-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T11:00:31.186Z","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":"2026-06-02T11:00:31.186Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T11:00:31.186Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}