{"id":"vidhyamitra:city-day:rishikesh:2165-09-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2165-09-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-09-30","date_display":"September 30, 2165 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":2165,"month":9,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512082.770833,"kali_year":5267,"ahargana":1923617.2708,"sun":{"sidereal_longitude":159.9365,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":100.3642,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.4276,"elapsed_within_tithi_degrees":0.4276},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.3642,"elapsed_within_degrees":7.0308},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.3007},"karana":{"half_tithi_index":50,"name":"Bava"},"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":2165,"month":9,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512082.770833,"ahargana":1923617.2708,"kali_year":5267,"ayanamsa_lahiri":26.1683,"grahas":{"sun":{"sidereal_longitude":161.08352200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":103.80592200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":-2.7149},"mars":{"sidereal_longitude":65.829522,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":184.80812200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":4.747022000000015,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":204.36522200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":244.34462200000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":137.4999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":317.4999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"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":2165,"month":9,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512082.770833,"kali_year":5267,"ahargana":1923617.2708,"sun":{"sidereal_longitude":159.9365,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":100.3642,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.4276,"elapsed_within_tithi_degrees":0.4276},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.3642,"elapsed_within_degrees":7.0308},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.3007},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.715,"elongation":59.572},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.715,"opposition_distance":120.428}},"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":"06:09","sunsetLocal":"18:03","solarNoonLocal":"12:06","dayLengthHours":11.906019541622188,"dayLengthDisplay":"11 Hours 54 Mins 22 Secs","nightLengthDisplay":"12 Hours 05 Mins 38 Secs","moonriseLocal":"01:31","moonsetLocal":"15:03","rahuKala":{"name":"Rāhu Kāla","start":"07:38","end":"09:07","startHours":7.636658066641919,"endHours":9.124910509344692,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:37","end":"12:06","startHours":10.613162952047468,"endHours":12.10141539475024,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:35","end":"15:05","startHours":13.589667837453014,"endHours":15.077920280155787,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:19","startHours":8.926476850317655,"endHours":9.32334416837173,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"06:58","startHours":6.644489771506737,"endHours":6.961983625949995,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:30","startHours":11.704548076696168,"endHours":12.498282712804313,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:34","end":"05:21","startHours":4.560936351722854,"endHours":5.354670987831,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:09","end":"06:09","startHours":5.156237328803964,"endHours":6.148405623939146,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:53","startHours":14.085751985020604,"endHours":14.87948662112875,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.854425165561334,"endHours":18.254425165561333,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:33","startHours":18.054425165561334,"endHours":18.550509313128924,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.804425165561334,"endHours":19.554425165561334,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:30","startHours":23.704548076696167,"endHours":24.498282712804315,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:09","end":"07:38","startHours":6.148405623939146,"endHours":7.636658066641919,"quality":"auspicious"},{"name":"Kāla","start":"07:38","end":"09:07","startHours":7.636658066641919,"endHours":9.124910509344692,"quality":"inauspicious"},{"name":"Śubha","start":"09:07","end":"10:37","startHours":9.124910509344692,"endHours":10.613162952047468,"quality":"auspicious"},{"name":"Roga","start":"10:37","end":"12:06","startHours":10.613162952047468,"endHours":12.10141539475024,"quality":"inauspicious"},{"name":"Udveg","start":"12:06","end":"13:35","startHours":12.10141539475024,"endHours":13.589667837453014,"quality":"inauspicious"},{"name":"Chala","start":"13:35","end":"15:05","startHours":13.589667837453014,"endHours":15.077920280155787,"quality":"neutral"},{"name":"Labha","start":"15:05","end":"16:34","startHours":15.077920280155787,"endHours":16.56617272285856,"quality":"auspicious"},{"name":"Amṛta","start":"16:34","end":"18:03","startHours":16.56617272285856,"endHours":18.054425165561334,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:03","end":"19:34","startHours":18.054425165561334,"endHours":19.56617272285856,"quality":"neutral"},{"name":"Labha","start":"19:34","end":"21:05","startHours":19.56617272285856,"endHours":21.077920280155787,"quality":"auspicious"},{"name":"Amṛta","start":"21:05","end":"22:35","startHours":21.077920280155787,"endHours":22.589667837453014,"quality":"auspicious"},{"name":"Kāla","start":"22:35","end":"00:06","startHours":22.589667837453014,"endHours":24.10141539475024,"quality":"inauspicious"},{"name":"Śubha","start":"00:06","end":"01:37","startHours":24.10141539475024,"endHours":25.613162952047468,"quality":"auspicious"},{"name":"Roga","start":"01:37","end":"03:07","startHours":25.613162952047468,"endHours":27.124910509344694,"quality":"inauspicious"},{"name":"Udveg","start":"03:07","end":"04:38","startHours":27.124910509344694,"endHours":28.63665806664192,"quality":"inauspicious"},{"name":"Chala","start":"04:38","end":"06:09","startHours":28.63665806664192,"endHours":30.148405623939148,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.148405623939146,"endHours":7.148405623939146,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.148405623939146,"endHours":8.148405623939146,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.148405623939146,"endHours":9.148405623939146,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.148405623939146,"endHours":10.148405623939146,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.148405623939146,"endHours":11.148405623939146,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.148405623939146,"endHours":12.148405623939146,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.148405623939146,"endHours":13.148405623939146,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.148405623939146,"endHours":14.148405623939146,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.148405623939146,"endHours":15.148405623939146,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.148405623939146,"endHours":16.148405623939148,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.148405623939148,"endHours":17.148405623939148,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.148405623939148,"endHours":18.148405623939148,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.148405623939148,"endHours":19.148405623939148,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.148405623939148,"endHours":20.148405623939148,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.148405623939148,"endHours":21.148405623939148,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.148405623939148,"endHours":22.148405623939148,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.148405623939148,"endHours":23.148405623939148,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.148405623939148,"endHours":24.148405623939148,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.148405623939148,"endHours":25.148405623939148,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.148405623939148,"endHours":26.148405623939148,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.148405623939148,"endHours":27.148405623939148,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.148405623939148,"endHours":28.148405623939148,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.148405623939148,"endHours":29.148405623939148,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.148405623939148,"endHours":30.148405623939148,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","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":-2.8778002237923945,"eotMinutes":10.844676314985584,"ayanamsa":26.1683}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"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 Ekādaśī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[{"id":"rama-ekadashi","name":"Ramā Ekādaśī","name_sanskrit":"रमा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (with Ramā = Lakṣmī)","significance":"Lakṣmī (Ramā) granted boon to King Mucukunda.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[]},"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 30, 2165 CE · Ṛṣikeśa · Vidhyamitra","description":"September 30, 2165 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 06:09, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2165-09-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2165-09-30","sa":"https://sa.vidhyamitra.com/city/rishikesh/2165-09-30","hi":"https://hi.vidhyamitra.com/city/rishikesh/2165-09-30","x-default":"https://vidhyamitra.com/city/rishikesh/2165-09-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:14:00.135Z","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":"2026-06-01T00:14:00.135Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:14:00.135Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}