{"id":"vidhyamitra:city-day:rishikesh:2151-07-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2151-07-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2151-07-21","date_display":"July 21, 2151 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":2151,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2506897.770833,"kali_year":5253,"ahargana":1918432.2708,"sun":{"sidereal_longitude":91.3513,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":182.9972,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":91.6458,"elapsed_within_tithi_degrees":7.6458},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":182.9972,"elapsed_within_degrees":9.6638},"yoga":{"number":21,"name":"Siddha","sum_longitude":274.3485},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2151,"month":7,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2506897.770833,"ahargana":1918432.2708,"kali_year":5253,"ayanamsa_lahiri":25.97,"grahas":{"sun":{"sidereal_longitude":92.168428,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":186.813128,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":3.4065},"mars":{"sidereal_longitude":140.32142800000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":78.991128,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":285.94152800000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"venus":{"sidereal_longitude":71.000628,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":79.98672799999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":52.2261,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":232.2261,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2151,"month":7,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2506897.770833,"kali_year":5253,"ahargana":1918432.2708,"sun":{"sidereal_longitude":91.3513,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":182.9972,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":91.6458,"elapsed_within_tithi_degrees":7.6458},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":182.9972,"elapsed_within_degrees":9.6638},"yoga":{"number":21,"name":"Siddha","sum_longitude":274.3485},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.406,"elongation":91.646},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.406,"opposition_distance":88.354}},"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":"05:29","sunsetLocal":"19:17","solarNoonLocal":"12:23","dayLengthHours":13.811631478011671,"dayLengthDisplay":"13 Hours 48 Mins 42 Secs","nightLengthDisplay":"10 Hours 11 Mins 18 Secs","moonriseLocal":"13:08","moonsetLocal":"00:15","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"14:07","startHours":12.382990057254734,"endHours":14.109443992006192,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:12","end":"08:56","startHours":7.203628253000356,"endHours":8.930082187751815,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:23","startHours":10.656536122503274,"endHours":12.382990057254734,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:10","startHours":8.699888329784955,"endHours":9.160276045718676,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:25","startHours":6.05265896316605,"endHours":6.420969135913028,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:51","startHours":11.922602341321012,"endHours":12.843377773188456,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:38","end":"04:33","startHours":3.6356234545140076,"endHours":4.556398886381452,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:29","startHours":4.326205028414591,"endHours":5.477174318248897,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:36","startHours":14.684928636923344,"endHours":15.605704068790788,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.08880579626057,"endHours":19.488805796260568,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:52","startHours":19.28880579626057,"endHours":19.864290441177722,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.03880579626057,"endHours":20.78880579626057,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:51","startHours":23.92260234132101,"endHours":24.843377773188458,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:29","end":"07:12","startHours":5.477174318248897,"endHours":7.203628253000356,"quality":"auspicious"},{"name":"Amṛta","start":"07:12","end":"08:56","startHours":7.203628253000356,"endHours":8.930082187751815,"quality":"auspicious"},{"name":"Kāla","start":"08:56","end":"10:39","startHours":8.930082187751815,"endHours":10.656536122503274,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:23","startHours":10.656536122503274,"endHours":12.382990057254734,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"14:07","startHours":12.382990057254734,"endHours":14.109443992006192,"quality":"inauspicious"},{"name":"Udveg","start":"14:07","end":"15:50","startHours":14.109443992006192,"endHours":15.835897926757651,"quality":"inauspicious"},{"name":"Chala","start":"15:50","end":"17:34","startHours":15.835897926757651,"endHours":17.562351861509107,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:17","startHours":17.562351861509107,"endHours":19.28880579626057,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:17","end":"20:34","startHours":19.28880579626057,"endHours":20.56235186150911,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"21:50","startHours":20.56235186150911,"endHours":21.83589792675765,"quality":"neutral"},{"name":"Labha","start":"21:50","end":"23:07","startHours":21.83589792675765,"endHours":23.10944399200619,"quality":"auspicious"},{"name":"Amṛta","start":"23:07","end":"00:23","startHours":23.10944399200619,"endHours":24.382990057254734,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"01:39","startHours":24.382990057254734,"endHours":25.656536122503276,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"02:56","startHours":25.656536122503276,"endHours":26.930082187751815,"quality":"auspicious"},{"name":"Roga","start":"02:56","end":"04:12","startHours":26.930082187751815,"endHours":28.203628253000357,"quality":"inauspicious"},{"name":"Udveg","start":"04:12","end":"05:29","startHours":28.203628253000357,"endHours":29.4771743182489,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:29","end":"06:29","startHours":5.477174318248897,"endHours":6.477174318248897,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:29","end":"07:29","startHours":6.477174318248897,"endHours":7.477174318248897,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:29","end":"08:29","startHours":7.477174318248897,"endHours":8.477174318248897,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:29","end":"09:29","startHours":8.477174318248897,"endHours":9.477174318248897,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:29","end":"10:29","startHours":9.477174318248897,"endHours":10.477174318248897,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:29","end":"11:29","startHours":10.477174318248897,"endHours":11.477174318248897,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:29","end":"12:29","startHours":11.477174318248897,"endHours":12.477174318248897,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:29","end":"13:29","startHours":12.477174318248897,"endHours":13.477174318248897,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:29","end":"14:29","startHours":13.477174318248897,"endHours":14.477174318248897,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:29","end":"15:29","startHours":14.477174318248897,"endHours":15.477174318248897,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:29","end":"16:29","startHours":15.477174318248897,"endHours":16.4771743182489,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:29","end":"17:29","startHours":16.4771743182489,"endHours":17.4771743182489,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:29","end":"18:29","startHours":17.4771743182489,"endHours":18.4771743182489,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:29","end":"19:29","startHours":18.4771743182489,"endHours":19.4771743182489,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:29","end":"20:29","startHours":19.4771743182489,"endHours":20.4771743182489,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:29","end":"21:29","startHours":20.4771743182489,"endHours":21.4771743182489,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:29","end":"22:29","startHours":21.4771743182489,"endHours":22.4771743182489,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:29","end":"23:29","startHours":22.4771743182489,"endHours":23.4771743182489,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:29","end":"00:29","startHours":23.4771743182489,"endHours":24.4771743182489,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:29","end":"01:29","startHours":24.4771743182489,"endHours":25.4771743182489,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:29","end":"02:29","startHours":25.4771743182489,"endHours":26.4771743182489,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:29","end":"03:29","startHours":26.4771743182489,"endHours":27.4771743182489,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:29","end":"04:29","startHours":27.4771743182489,"endHours":28.4771743182489,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:29","end":"05:29","startHours":28.4771743182489,"endHours":29.4771743182489,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.531651365764258,"eotMinutes":-6.049803435283957,"ayanamsa":25.97}},"calendars":{"vikram_samvat":2208,"vikram_samvatsara":"Raktākṣī","saka_samvat":2073,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1558,"malayalam_era":1327,"nanakshahi_year":682,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Aṣṭamī · Vikram 2208 Raktākṣī · Śaka 2073 Virodhakṛt"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","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 July 21, 2151 CE · Ṛṣikeśa · Vidhyamitra","description":"July 21, 2151 CE for Ṛṣikeśa: Śukla Aṣṭamī, sūryodaya 05:29, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2151-07-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2151-07-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2151-07-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2151-07-21","x-default":"https://vidhyamitra.com/city/rishikesh/2151-07-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T02:58:11.381Z","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":"2026-06-02T02:58:11.381Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T02:58:11.381Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}