{"id":"vidhyamitra:city-day:rishikesh:2169-04-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2169-04-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2169-04-18","date_display":"April 18, 2169 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":2169,"month":4,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513378.770833,"kali_year":5270,"ahargana":1924913.2708,"sun":{"sidereal_longitude":1.9197,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":258.3891,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.4694,"elapsed_within_tithi_degrees":4.4694},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":258.3891,"elapsed_within_degrees":5.0557},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.3088},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"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":2169,"month":4,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513378.770833,"ahargana":1924913.2708,"kali_year":5270,"ayanamsa_lahiri":26.2179,"grahas":{"sun":{"sidereal_longitude":2.187505999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":258.52090599999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":-0.7464},"mars":{"sidereal_longitude":346.174406,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":343.151106,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":99.90230600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"venus":{"sidereal_longitude":313.52780600000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":294.818706,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":68.8316,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":248.8316,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2169,"month":4,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513378.770833,"kali_year":5270,"ahargana":1924913.2708,"sun":{"sidereal_longitude":1.9197,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":258.3891,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.4694,"elapsed_within_tithi_degrees":4.4694},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":258.3891,"elapsed_within_degrees":5.0557},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.3088},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.746,"elongation":103.531},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.746,"opposition_distance":76.469}},"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":"05:47","sunsetLocal":"18:46","solarNoonLocal":"12:16","dayLengthHours":12.98629519431028,"dayLengthDisplay":"12 Hours 59 Mins 11 Secs","nightLengthDisplay":"11 Hours 00 Mins 49 Secs","moonriseLocal":"00:15","moonsetLocal":"10:29","rahuKala":{"name":"Rāhu Kāla","start":"15:31","end":"17:09","startHours":15.520302416979511,"endHours":17.143589316268297,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:02","end":"10:39","startHours":9.027154819824371,"endHours":10.650441719113157,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:54","startHours":12.273728618401943,"endHours":13.897015517690729,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.810716566585867,"endHours":9.243593073062877,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.321676654343064,"endHours":6.6679778595246715,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.840852111924933,"endHours":12.706605124878953,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:55","startHours":4.049074995338765,"endHours":4.914828008292783,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:47","startHours":4.698389755054279,"endHours":5.780581021246802,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:18","startHours":14.438111150786987,"endHours":15.303864163741006,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:34","end":"18:58","startHours":18.566876215557084,"endHours":18.966876215557082,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:46","end":"19:18","startHours":18.766876215557083,"endHours":19.307971848653345,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:31","end":"20:16","startHours":18.516876215557083,"endHours":20.266876215557083,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.840852111924935,"endHours":24.70660512487895,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:47","end":"07:24","startHours":5.780581021246802,"endHours":7.403867920535587,"quality":"inauspicious"},{"name":"Udveg","start":"07:24","end":"09:02","startHours":7.403867920535587,"endHours":9.027154819824371,"quality":"inauspicious"},{"name":"Chala","start":"09:02","end":"10:39","startHours":9.027154819824371,"endHours":10.650441719113157,"quality":"neutral"},{"name":"Labha","start":"10:39","end":"12:16","startHours":10.650441719113157,"endHours":12.273728618401943,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:54","startHours":12.273728618401943,"endHours":13.897015517690729,"quality":"auspicious"},{"name":"Kāla","start":"13:54","end":"15:31","startHours":13.897015517690729,"endHours":15.520302416979511,"quality":"inauspicious"},{"name":"Śubha","start":"15:31","end":"17:09","startHours":15.520302416979511,"endHours":17.143589316268297,"quality":"auspicious"},{"name":"Roga","start":"17:09","end":"18:46","startHours":17.143589316268297,"endHours":18.766876215557083,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:46","end":"20:09","startHours":18.766876215557083,"endHours":20.143589316268297,"quality":"inauspicious"},{"name":"Śubha","start":"20:09","end":"21:31","startHours":20.143589316268297,"endHours":21.52030241697951,"quality":"auspicious"},{"name":"Roga","start":"21:31","end":"22:54","startHours":21.52030241697951,"endHours":22.89701551769073,"quality":"inauspicious"},{"name":"Udveg","start":"22:54","end":"00:16","startHours":22.89701551769073,"endHours":24.273728618401943,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:39","startHours":24.273728618401943,"endHours":25.650441719113157,"quality":"neutral"},{"name":"Labha","start":"01:39","end":"03:02","startHours":25.650441719113157,"endHours":27.027154819824375,"quality":"auspicious"},{"name":"Amṛta","start":"03:02","end":"04:24","startHours":27.027154819824375,"endHours":28.40386792053559,"quality":"auspicious"},{"name":"Kāla","start":"04:24","end":"05:47","startHours":28.40386792053559,"endHours":29.780581021246803,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.780581021246802,"endHours":6.780581021246802,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.780581021246802,"endHours":7.780581021246802,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.780581021246802,"endHours":8.780581021246803,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.780581021246803,"endHours":9.780581021246803,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.780581021246803,"endHours":10.780581021246803,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.780581021246803,"endHours":11.780581021246803,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.780581021246803,"endHours":12.780581021246803,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.780581021246803,"endHours":13.780581021246803,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.780581021246803,"endHours":14.780581021246803,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.780581021246803,"endHours":15.780581021246803,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.780581021246803,"endHours":16.780581021246803,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.780581021246803,"endHours":17.780581021246803,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.780581021246803,"endHours":18.780581021246803,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.780581021246803,"endHours":19.780581021246803,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.780581021246803,"endHours":20.780581021246803,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.780581021246803,"endHours":21.780581021246803,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.780581021246803,"endHours":22.780581021246803,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.780581021246803,"endHours":23.780581021246803,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.780581021246803,"endHours":24.780581021246803,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.780581021246803,"endHours":25.780581021246803,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.780581021246803,"endHours":26.780581021246803,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.780581021246803,"endHours":27.780581021246803,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.780581021246803,"endHours":28.780581021246803,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.780581021246803,"endHours":29.780581021246803,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.906345699083714,"eotMinutes":0.5058828958834352,"ayanamsa":26.2179}},"calendars":{"vikram_samvat":2226,"vikram_samvatsara":"Citrabhānu","saka_samvat":2091,"saka_samvatsara":"Śukla","bengali_samvat":1576,"malayalam_era":1345,"nanakshahi_year":700,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Saptamī · Vikram 2226 Citrabhānu · Śaka 2091 Śukla"},"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":[]},"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 April 18, 2169 CE · Ṛṣikeśa · Vidhyamitra","description":"April 18, 2169 CE for Ṛṣikeśa: Kṛṣṇa Saptamī, sūryodaya 05:47, sūryāsta 18:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2169-04-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2169-04-18","sa":"https://sa.vidhyamitra.com/city/rishikesh/2169-04-18","hi":"https://hi.vidhyamitra.com/city/rishikesh/2169-04-18","x-default":"https://vidhyamitra.com/city/rishikesh/2169-04-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:00:40.049Z","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":"2026-06-01T00:00:40.049Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:00:40.049Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}