{"id":"vidhyamitra:city-day:rishikesh:2167-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2167-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2167-01-21","date_display":"January 21, 2167 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":2167,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512560.770833,"kali_year":5268,"ahargana":1924095.2708,"sun":{"sidereal_longitude":274.1036,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":270.846,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":356.7424,"elapsed_within_tithi_degrees":8.7424},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.846,"elapsed_within_degrees":4.1794},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.9497},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":2167,"month":1,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512560.770833,"ahargana":1924095.2708,"kali_year":5268,"ayanamsa_lahiri":26.1866,"grahas":{"sun":{"sidereal_longitude":274.57975899999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":272.22165900000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":1.6352},"mars":{"sidereal_longitude":261.9615590000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":269.659759,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":32.98265900000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":304.134959,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":265.2230589999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":112.1732,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":292.1732,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2167,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512560.770833,"kali_year":5268,"ahargana":1924095.2708,"sun":{"sidereal_longitude":274.1036,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":270.846,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":356.7424,"elapsed_within_tithi_degrees":8.7424},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.846,"elapsed_within_degrees":4.1794},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.9497},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.635,"elongation":3.258},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.635,"opposition_distance":176.742}},"eclipse_window_40days":[{"offset_days":14,"type":"lunar","occurs":true,"moon_latitude":-0.287,"opposition_distance":0.669}]},"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":"07:13","sunsetLocal":"17:44","solarNoonLocal":"12:28","dayLengthHours":10.517741365935954,"dayLengthDisplay":"10 Hours 31 Mins 04 Secs","nightLengthDisplay":"13 Hours 28 Mins 56 Secs","moonriseLocal":"07:06","moonsetLocal":"17:32","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"13:47","startHours":12.469755520818868,"endHours":13.784473191560862,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:32","end":"09:50","startHours":8.525602508592884,"endHours":9.840320179334878,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:09","end":"12:28","startHours":11.155037850076873,"endHours":12.469755520818868,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.665024489902613,"endHours":10.015615868767144,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.6491240614315545,"endHours":7.92959716452318,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.119164141954336,"endHours":12.8203468996834,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:31","startHours":5.808519322392763,"endHours":6.509702080121826,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:13","startHours":6.33440639068956,"endHours":7.21088483785089,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.222712415141526,"endHours":14.923895172870589,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.528626203786846,"endHours":17.928626203786845,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:10","startHours":17.728626203786845,"endHours":18.16686542736751,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.478626203786845,"endHours":19.228626203786845,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.119164141954336,"endHours":24.8203468996834,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:13","end":"08:32","startHours":7.21088483785089,"endHours":8.525602508592884,"quality":"auspicious"},{"name":"Amṛta","start":"08:32","end":"09:50","startHours":8.525602508592884,"endHours":9.840320179334878,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:09","startHours":9.840320179334878,"endHours":11.155037850076873,"quality":"inauspicious"},{"name":"Śubha","start":"11:09","end":"12:28","startHours":11.155037850076873,"endHours":12.469755520818868,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"13:47","startHours":12.469755520818868,"endHours":13.784473191560862,"quality":"inauspicious"},{"name":"Udveg","start":"13:47","end":"15:06","startHours":13.784473191560862,"endHours":15.099190862302855,"quality":"inauspicious"},{"name":"Chala","start":"15:06","end":"16:25","startHours":15.099190862302855,"endHours":16.41390853304485,"quality":"neutral"},{"name":"Labha","start":"16:25","end":"17:44","startHours":16.41390853304485,"endHours":17.728626203786845,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:44","end":"19:25","startHours":17.728626203786845,"endHours":19.41390853304485,"quality":"inauspicious"},{"name":"Chala","start":"19:25","end":"21:06","startHours":19.41390853304485,"endHours":21.099190862302855,"quality":"neutral"},{"name":"Labha","start":"21:06","end":"22:47","startHours":21.099190862302855,"endHours":22.784473191560863,"quality":"auspicious"},{"name":"Amṛta","start":"22:47","end":"00:28","startHours":22.784473191560863,"endHours":24.469755520818868,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"02:09","startHours":24.469755520818868,"endHours":26.155037850076873,"quality":"inauspicious"},{"name":"Śubha","start":"02:09","end":"03:50","startHours":26.155037850076873,"endHours":27.84032017933488,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:32","startHours":27.84032017933488,"endHours":29.525602508592886,"quality":"inauspicious"},{"name":"Udveg","start":"05:32","end":"07:13","startHours":29.525602508592886,"endHours":31.21088483785089,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.21088483785089,"endHours":8.210884837850891,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.210884837850891,"endHours":9.210884837850891,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.210884837850891,"endHours":10.210884837850891,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.210884837850891,"endHours":11.210884837850891,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.210884837850891,"endHours":12.210884837850891,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.210884837850891,"endHours":13.210884837850891,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.210884837850891,"endHours":14.210884837850891,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.210884837850891,"endHours":15.210884837850891,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.210884837850891,"endHours":16.21088483785089,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.21088483785089,"endHours":17.21088483785089,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.21088483785089,"endHours":18.21088483785089,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.21088483785089,"endHours":19.21088483785089,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.21088483785089,"endHours":20.21088483785089,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.21088483785089,"endHours":21.21088483785089,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.21088483785089,"endHours":22.21088483785089,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.21088483785089,"endHours":23.21088483785089,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.21088483785089,"endHours":24.21088483785089,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.21088483785089,"endHours":25.21088483785089,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.21088483785089,"endHours":26.21088483785089,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.21088483785089,"endHours":27.21088483785089,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.21088483785089,"endHours":28.21088483785089,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.21088483785089,"endHours":29.21088483785089,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.21088483785089,"endHours":30.21088483785089,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.21088483785089,"endHours":31.21088483785089,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.983880050147835,"eotMinutes":-11.255731249132124,"ayanamsa":26.1866}},"calendars":{"vikram_samvat":2224,"vikram_samvatsara":"Vikrama","saka_samvat":2089,"saka_samvatsara":"Prabhava","bengali_samvat":1574,"malayalam_era":1343,"nanakshahi_year":698,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Amāvasyā · Vikram 2224 Vikrama · Śaka 2089 Prabhava"},"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 January 21, 2167 CE · Ṛṣikeśa · Vidhyamitra","description":"January 21, 2167 CE for Ṛṣikeśa: Kṛṣṇa Amāvasyā, sūryodaya 07:13, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2167-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2167-01-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2167-01-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2167-01-21","x-default":"https://vidhyamitra.com/city/rishikesh/2167-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:28:07.564Z","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":"2026-05-31T03:28:07.564Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:28:07.564Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}