{"id":"vidhyamitra:city-day:mathura:-3123-10-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3123-10-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3123-10-30","date_display":"October 30, 3124 BCE","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3123,"month":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":580684.770833,"kali_year":-21,"ahargana":-7780.7292,"sun":{"sidereal_longitude":251.0469,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":73.4623,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":182.4154,"elapsed_within_tithi_degrees":2.4154},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":73.4623,"elapsed_within_degrees":6.7956},"yoga":{"number":25,"name":"Brahma","sum_longitude":324.5092},"karana":{"half_tithi_index":30,"name":"Bālava"},"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":-3123,"month":10,"day":30,"hour":6,"minute":30,"calendar":"julian"},"julian_day":580684.770833,"ahargana":-7780.7292,"kali_year":-21,"ayanamsa_lahiri":-47.7004,"grahas":{"sun":{"sidereal_longitude":251.0469,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":73.4623,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-1.626},"mars":{"sidereal_longitude":239.5738,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":236.3345,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":80.5138,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"venus":{"sidereal_longitude":206.5096,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":109.9657,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":232.2605,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":52.2605,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3123,"month":10,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":580684.770833,"kali_year":-21,"ahargana":-7780.7292,"sun":{"sidereal_longitude":251.0469,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":73.4623,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":182.4154,"elapsed_within_tithi_degrees":2.4154},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":73.4623,"elapsed_within_degrees":6.7956},"yoga":{"number":25,"name":"Brahma","sum_longitude":324.5092},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.626,"elongation":177.585},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.626,"opposition_distance":2.415}},"eclipse_window_40days":[{"offset_days":-16,"type":"solar","occurs":true,"moon_latitude":0.014,"elongation":1.332}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:18","sunsetLocal":"17:48","solarNoonLocal":"12:03","dayLengthHours":11.49186268397756,"dayLengthDisplay":"11 Hours 29 Mins 31 Secs","nightLengthDisplay":"12 Hours 30 Mins 29 Secs","moonriseLocal":"17:49","moonsetLocal":"06:36","rahuKala":{"name":"Rāhu Kāla","start":"07:44","end":"09:10","startHours":7.738141262353983,"endHours":9.174624097851177,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:37","end":"12:03","startHours":10.611106933348374,"endHours":12.047589768845569,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:29","end":"14:55","startHours":13.484072604342764,"endHours":14.920555439839958,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.983093053118218,"endHours":9.366155142584137,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:05","startHours":6.780486038689186,"endHours":7.086935710261921,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:26","startHours":11.664527679379649,"endHours":12.430651858311485,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:46","end":"05:32","startHours":4.769410068993113,"endHours":5.53553424792495,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:18","startHours":5.344003203191991,"endHours":6.301658426856788,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:44","startHours":13.96290021617516,"endHours":14.729024395106999,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:36","end":"18:00","startHours":17.59352111083435,"endHours":17.993521110834347,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:48","end":"18:16","startHours":17.793521110834348,"endHours":18.272348722666745,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:33","end":"19:18","startHours":17.543521110834348,"endHours":19.293521110834348,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:26","startHours":23.66452767937965,"endHours":24.43065185831149,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:18","end":"07:44","startHours":6.301658426856788,"endHours":7.738141262353983,"quality":"auspicious"},{"name":"Kāla","start":"07:44","end":"09:10","startHours":7.738141262353983,"endHours":9.174624097851177,"quality":"inauspicious"},{"name":"Śubha","start":"09:10","end":"10:37","startHours":9.174624097851177,"endHours":10.611106933348374,"quality":"auspicious"},{"name":"Roga","start":"10:37","end":"12:03","startHours":10.611106933348374,"endHours":12.047589768845569,"quality":"inauspicious"},{"name":"Udveg","start":"12:03","end":"13:29","startHours":12.047589768845569,"endHours":13.484072604342764,"quality":"inauspicious"},{"name":"Chala","start":"13:29","end":"14:55","startHours":13.484072604342764,"endHours":14.920555439839958,"quality":"neutral"},{"name":"Labha","start":"14:55","end":"16:21","startHours":14.920555439839958,"endHours":16.357038275337153,"quality":"auspicious"},{"name":"Amṛta","start":"16:21","end":"17:48","startHours":16.357038275337153,"endHours":17.793521110834348,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:48","end":"19:21","startHours":17.793521110834348,"endHours":19.357038275337153,"quality":"neutral"},{"name":"Labha","start":"19:21","end":"20:55","startHours":19.357038275337153,"endHours":20.92055543983996,"quality":"auspicious"},{"name":"Amṛta","start":"20:55","end":"22:29","startHours":20.92055543983996,"endHours":22.484072604342764,"quality":"auspicious"},{"name":"Kāla","start":"22:29","end":"00:03","startHours":22.484072604342764,"endHours":24.04758976884557,"quality":"inauspicious"},{"name":"Śubha","start":"00:03","end":"01:37","startHours":24.04758976884557,"endHours":25.611106933348374,"quality":"auspicious"},{"name":"Roga","start":"01:37","end":"03:10","startHours":25.611106933348374,"endHours":27.17462409785118,"quality":"inauspicious"},{"name":"Udveg","start":"03:10","end":"04:44","startHours":27.17462409785118,"endHours":28.738141262353984,"quality":"inauspicious"},{"name":"Chala","start":"04:44","end":"06:18","startHours":28.738141262353984,"endHours":30.30165842685679,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.301658426856788,"endHours":7.301658426856788,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.301658426856788,"endHours":8.301658426856788,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.301658426856788,"endHours":9.301658426856788,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.301658426856788,"endHours":10.301658426856788,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.301658426856788,"endHours":11.301658426856788,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.301658426856788,"endHours":12.301658426856788,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.301658426856788,"endHours":13.301658426856788,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.301658426856788,"endHours":14.301658426856788,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.301658426856788,"endHours":15.301658426856788,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.301658426856788,"endHours":16.30165842685679,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.30165842685679,"endHours":17.30165842685679,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.30165842685679,"endHours":18.30165842685679,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.30165842685679,"endHours":19.30165842685679,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.30165842685679,"endHours":20.30165842685679,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.30165842685679,"endHours":21.30165842685679,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.30165842685679,"endHours":22.30165842685679,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.30165842685679,"endHours":23.30165842685679,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.30165842685679,"endHours":24.30165842685679,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.30165842685679,"endHours":25.30165842685679,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.30165842685679,"endHours":26.30165842685679,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.30165842685679,"endHours":27.30165842685679,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.30165842685679,"endHours":28.30165842685679,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.30165842685679,"endHours":29.30165842685679,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.30165842685679,"endHours":30.30165842685679,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.068645997923717,"eotMinutes":16.449813869265995,"ayanamsa":-47.7004}},"calendars":{"vikram_samvat":-3066,"saka_samvat":-3201,"bengali_samvat":-3716,"malayalam_era":-3947,"nanakshahi_year":-4592,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pratipada · Vikram -3066 undefined · Śaka -3201 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 30, 3124 BCE · Mathurā · Vidhyamitra","description":"October 30, 3124 BCE for Mathurā: Kṛṣṇa Pratipada, sūryodaya 06:18, sūryāsta 17:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3123-10-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3123-10-30","sa":"https://sa.vidhyamitra.com/city/mathura/-3123-10-30","hi":"https://hi.vidhyamitra.com/city/mathura/-3123-10-30","x-default":"https://vidhyamitra.com/city/mathura/-3123-10-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T05:23:27.325Z","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":"2026-09-08T05:23:27.325Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T05:23:27.325Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}