{"id":"vidhyamitra:city-day:rishikesh:2104-09-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2104-09-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-09-09","date_display":"September 9, 2104 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":2104,"month":9,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489781.770833,"kali_year":5206,"ahargana":1901316.2708,"sun":{"sidereal_longitude":140.2474,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":12.7926,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.5451,"elapsed_within_tithi_degrees":4.5451},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.7926,"elapsed_within_degrees":12.7926},"yoga":{"number":12,"name":"Dhruva","sum_longitude":153.04},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2104,"month":9,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489781.770833,"ahargana":1901316.2708,"kali_year":5206,"ayanamsa_lahiri":25.3154,"grahas":{"sun":{"sidereal_longitude":141.209585,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":16.908884999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":3.2529},"mars":{"sidereal_longitude":175.312185,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":136.05998499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":298.49138500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":171.057185,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":221.15858500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":239.1142,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":59.1142,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2104,"month":9,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489781.770833,"kali_year":5206,"ahargana":1901316.2708,"sun":{"sidereal_longitude":140.2474,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":12.7926,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.5451,"elapsed_within_tithi_degrees":4.5451},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.7926,"elapsed_within_degrees":12.7926},"yoga":{"number":12,"name":"Dhruva","sum_longitude":153.04},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.253,"elongation":127.455},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.253,"opposition_distance":52.545}},"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":"05:57","sunsetLocal":"18:30","solarNoonLocal":"12:14","dayLengthHours":12.541348754710745,"dayLengthDisplay":"12 Hours 32 Mins 29 Secs","nightLengthDisplay":"11 Hours 27 Mins 31 Secs","moonriseLocal":"21:17","moonsetLocal":"10:36","rahuKala":{"name":"Rāhu Kāla","start":"15:22","end":"16:56","startHours":15.362806761624215,"endHours":16.93047535596306,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:06","end":"10:40","startHours":9.092132384268844,"endHours":10.659800978607686,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:14","end":"13:48","startHours":12.227469572946529,"endHours":13.795138167285373,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.883109905023664,"endHours":9.301154863514022,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.479351393704105,"endHours":6.813787360496391,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:39","startHours":11.809424614456171,"endHours":12.645514531436886,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:17","end":"05:07","startHours":4.284615361629724,"endHours":5.120705278610441,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:55","end":"05:57","startHours":4.911682799365262,"endHours":5.956795195591157,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:09","startHours":14.31769436539832,"endHours":15.153784282379037,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:18","end":"18:42","startHours":18.298143950301903,"endHours":18.6981439503019,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:30","end":"19:01","startHours":18.498143950301902,"endHours":19.02070014841485,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:15","end":"20:00","startHours":18.248143950301902,"endHours":19.998143950301902,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:39","startHours":23.80942461445617,"endHours":24.645514531436888,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:57","end":"07:31","startHours":5.956795195591157,"endHours":7.52446378993,"quality":"inauspicious"},{"name":"Udveg","start":"07:31","end":"09:06","startHours":7.52446378993,"endHours":9.092132384268844,"quality":"inauspicious"},{"name":"Chala","start":"09:06","end":"10:40","startHours":9.092132384268844,"endHours":10.659800978607686,"quality":"neutral"},{"name":"Labha","start":"10:40","end":"12:14","startHours":10.659800978607686,"endHours":12.227469572946529,"quality":"auspicious"},{"name":"Amṛta","start":"12:14","end":"13:48","startHours":12.227469572946529,"endHours":13.795138167285373,"quality":"auspicious"},{"name":"Kāla","start":"13:48","end":"15:22","startHours":13.795138167285373,"endHours":15.362806761624215,"quality":"inauspicious"},{"name":"Śubha","start":"15:22","end":"16:56","startHours":15.362806761624215,"endHours":16.93047535596306,"quality":"auspicious"},{"name":"Roga","start":"16:56","end":"18:30","startHours":16.93047535596306,"endHours":18.498143950301902,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:30","end":"19:56","startHours":18.498143950301902,"endHours":19.930475355963058,"quality":"inauspicious"},{"name":"Śubha","start":"19:56","end":"21:22","startHours":19.930475355963058,"endHours":21.362806761624217,"quality":"auspicious"},{"name":"Roga","start":"21:22","end":"22:48","startHours":21.362806761624217,"endHours":22.795138167285373,"quality":"inauspicious"},{"name":"Udveg","start":"22:48","end":"00:14","startHours":22.795138167285373,"endHours":24.22746957294653,"quality":"inauspicious"},{"name":"Chala","start":"00:14","end":"01:40","startHours":24.22746957294653,"endHours":25.659800978607684,"quality":"neutral"},{"name":"Labha","start":"01:40","end":"03:06","startHours":25.659800978607684,"endHours":27.092132384268844,"quality":"auspicious"},{"name":"Amṛta","start":"03:06","end":"04:31","startHours":27.092132384268844,"endHours":28.52446378993,"quality":"auspicious"},{"name":"Kāla","start":"04:31","end":"05:57","startHours":28.52446378993,"endHours":29.956795195591155,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.956795195591157,"endHours":6.956795195591157,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.956795195591157,"endHours":7.956795195591157,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.956795195591157,"endHours":8.956795195591157,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.956795195591157,"endHours":9.956795195591157,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.956795195591157,"endHours":10.956795195591157,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.956795195591157,"endHours":11.956795195591157,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.956795195591157,"endHours":12.956795195591157,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.956795195591157,"endHours":13.956795195591157,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.956795195591157,"endHours":14.956795195591157,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.956795195591157,"endHours":15.956795195591157,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.956795195591157,"endHours":16.956795195591155,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.956795195591155,"endHours":17.956795195591155,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.956795195591155,"endHours":18.956795195591155,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.956795195591155,"endHours":19.956795195591155,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.956795195591155,"endHours":20.956795195591155,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.956795195591155,"endHours":21.956795195591155,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.956795195591155,"endHours":22.956795195591155,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.956795195591155,"endHours":23.956795195591155,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.956795195591155,"endHours":24.956795195591155,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.956795195591155,"endHours":25.956795195591155,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.956795195591155,"endHours":26.956795195591155,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.956795195591155,"endHours":27.956795195591155,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.956795195591155,"endHours":28.956795195591155,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.956795195591155,"endHours":29.956795195591155,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Vajra","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":5.317812639343922,"eotMinutes":3.2814256232083188,"ayanamsa":25.3154}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"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 Pañcamī · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"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 September 9, 2104 CE · Ṛṣikeśa · Vidhyamitra","description":"September 9, 2104 CE for Ṛṣikeśa: Kṛṣṇa Pañcamī, sūryodaya 05:57, sūryāsta 18:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2104-09-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2104-09-09","sa":"https://sa.vidhyamitra.com/city/rishikesh/2104-09-09","hi":"https://hi.vidhyamitra.com/city/rishikesh/2104-09-09","x-default":"https://vidhyamitra.com/city/rishikesh/2104-09-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:00:30.326Z","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":"2026-05-31T21:00:30.326Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:00:30.326Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}