{"id":"vidhyamitra:city-day:rishikesh:2168-09-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2168-09-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-09-26","date_display":"September 26, 2168 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":2168,"month":9,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513174.770833,"kali_year":5270,"ahargana":1924709.2708,"sun":{"sidereal_longitude":156.2383,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":87.1042,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":290.8658,"elapsed_within_tithi_degrees":2.8658},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":87.1042,"elapsed_within_degrees":7.1042},"yoga":{"number":19,"name":"Parigha","sum_longitude":243.3425},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2168,"month":9,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513174.770833,"ahargana":1924709.2708,"kali_year":5270,"ayanamsa_lahiri":26.2101,"grahas":{"sun":{"sidereal_longitude":157.3895,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":86.9545,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":0.5839},"mars":{"sidereal_longitude":191.40879999999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":140.42449999999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":102.94479999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":194.18470000000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":278.30860000000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":79.6405,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":259.6405,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2168,"month":9,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513174.770833,"kali_year":5270,"ahargana":1924709.2708,"sun":{"sidereal_longitude":156.2383,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":87.1042,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":290.8658,"elapsed_within_tithi_degrees":2.8658},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":87.1042,"elapsed_within_degrees":7.1042},"yoga":{"number":19,"name":"Parigha","sum_longitude":243.3425},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.584,"elongation":69.134},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.584,"opposition_distance":110.866}},"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":"06:07","sunsetLocal":"18:08","solarNoonLocal":"12:07","dayLengthHours":12.017838111023064,"dayLengthDisplay":"12 Hours 01 Mins 04 Secs","nightLengthDisplay":"11 Hours 58 Mins 56 Secs","moonriseLocal":"00:30","moonsetLocal":"14:21","rahuKala":{"name":"Rāhu Kāla","start":"07:37","end":"09:07","startHours":7.617206063613692,"endHours":9.119435827491575,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:37","end":"12:07","startHours":10.621665591369457,"endHours":12.12389535524734,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:38","end":"15:08","startHours":13.626125119125224,"endHours":15.128354883003105,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:19","startHours":8.91913852564119,"endHours":9.319733129341959,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:37","end":"06:56","startHours":6.615719554361769,"endHours":6.9361952373223845,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:31","startHours":11.72330075154657,"endHours":12.52448995894811,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:31","end":"05:19","startHours":4.512597884932733,"endHours":5.3137870923342705,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:07","end":"06:07","startHours":5.113489790483886,"endHours":6.114976299735808,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:56","startHours":14.126868373751183,"endHours":14.92805758115272,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.932814410758873,"endHours":18.33281441075887,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:38","startHours":18.132814410758872,"endHours":18.63355766538483,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.882814410758872,"endHours":19.632814410758872,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:31","startHours":23.723300751546574,"endHours":24.52448995894811,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:07","end":"07:37","startHours":6.114976299735808,"endHours":7.617206063613692,"quality":"auspicious"},{"name":"Kāla","start":"07:37","end":"09:07","startHours":7.617206063613692,"endHours":9.119435827491575,"quality":"inauspicious"},{"name":"Śubha","start":"09:07","end":"10:37","startHours":9.119435827491575,"endHours":10.621665591369457,"quality":"auspicious"},{"name":"Roga","start":"10:37","end":"12:07","startHours":10.621665591369457,"endHours":12.12389535524734,"quality":"inauspicious"},{"name":"Udveg","start":"12:07","end":"13:38","startHours":12.12389535524734,"endHours":13.626125119125224,"quality":"inauspicious"},{"name":"Chala","start":"13:38","end":"15:08","startHours":13.626125119125224,"endHours":15.128354883003105,"quality":"neutral"},{"name":"Labha","start":"15:08","end":"16:38","startHours":15.128354883003105,"endHours":16.63058464688099,"quality":"auspicious"},{"name":"Amṛta","start":"16:38","end":"18:08","startHours":16.63058464688099,"endHours":18.132814410758872,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:08","end":"19:38","startHours":18.132814410758872,"endHours":19.63058464688099,"quality":"neutral"},{"name":"Labha","start":"19:38","end":"21:08","startHours":19.63058464688099,"endHours":21.128354883003105,"quality":"auspicious"},{"name":"Amṛta","start":"21:08","end":"22:38","startHours":21.128354883003105,"endHours":22.626125119125224,"quality":"auspicious"},{"name":"Kāla","start":"22:38","end":"00:07","startHours":22.626125119125224,"endHours":24.123895355247342,"quality":"inauspicious"},{"name":"Śubha","start":"00:07","end":"01:37","startHours":24.123895355247342,"endHours":25.621665591369457,"quality":"auspicious"},{"name":"Roga","start":"01:37","end":"03:07","startHours":25.621665591369457,"endHours":27.119435827491575,"quality":"inauspicious"},{"name":"Udveg","start":"03:07","end":"04:37","startHours":27.119435827491575,"endHours":28.617206063613693,"quality":"inauspicious"},{"name":"Chala","start":"04:37","end":"06:07","startHours":28.617206063613693,"endHours":30.114976299735808,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:07","end":"07:07","startHours":6.114976299735808,"endHours":7.114976299735808,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:07","end":"08:07","startHours":7.114976299735808,"endHours":8.114976299735808,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:07","end":"09:07","startHours":8.114976299735808,"endHours":9.114976299735808,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:07","end":"10:07","startHours":9.114976299735808,"endHours":10.114976299735808,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:07","end":"11:07","startHours":10.114976299735808,"endHours":11.114976299735808,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:07","end":"12:07","startHours":11.114976299735808,"endHours":12.114976299735808,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:07","end":"13:07","startHours":12.114976299735808,"endHours":13.114976299735808,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:07","end":"14:07","startHours":13.114976299735808,"endHours":14.114976299735808,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:07","end":"15:07","startHours":14.114976299735808,"endHours":15.114976299735808,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:07","end":"16:07","startHours":15.114976299735808,"endHours":16.114976299735808,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:07","end":"17:07","startHours":16.114976299735808,"endHours":17.114976299735808,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:07","end":"18:07","startHours":17.114976299735808,"endHours":18.114976299735808,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:07","end":"19:07","startHours":18.114976299735808,"endHours":19.114976299735808,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:07","end":"20:07","startHours":19.114976299735808,"endHours":20.114976299735808,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:07","end":"21:07","startHours":20.114976299735808,"endHours":21.114976299735808,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:07","end":"22:07","startHours":21.114976299735808,"endHours":22.114976299735808,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:07","end":"23:07","startHours":22.114976299735808,"endHours":23.114976299735808,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:07","end":"00:07","startHours":23.114976299735808,"endHours":24.114976299735808,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:07","end":"01:07","startHours":24.114976299735808,"endHours":25.114976299735808,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:07","end":"02:07","startHours":25.114976299735808,"endHours":26.114976299735808,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:07","end":"03:07","startHours":26.114976299735808,"endHours":27.114976299735808,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:07","end":"04:07","startHours":27.114976299735808,"endHours":28.114976299735808,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:07","end":"05:07","startHours":28.114976299735808,"endHours":29.114976299735808,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:07","end":"06:07","startHours":29.114976299735808,"endHours":30.114976299735808,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-1.4308848880380975,"eotMinutes":9.49587868515961,"ayanamsa":26.2101}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"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 Daśamī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 26, 2168 CE · Ṛṣikeśa · Vidhyamitra","description":"September 26, 2168 CE for Ṛṣikeśa: Kṛṣṇa Daśamī, sūryodaya 06:07, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2168-09-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2168-09-26","sa":"https://sa.vidhyamitra.com/city/rishikesh/2168-09-26","hi":"https://hi.vidhyamitra.com/city/rishikesh/2168-09-26","x-default":"https://vidhyamitra.com/city/rishikesh/2168-09-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T22:57:18.560Z","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":"2026-05-30T22:57:18.560Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T22:57:18.560Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}