{"id":"vidhyamitra:city-day:ajmer:2011-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ajmer/2011-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-01-31","date_display":"January 31, 2011 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":"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":2011,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455592.770833,"kali_year":5112,"ahargana":1867127.2708,"sun":{"sidereal_longitude":286.7714,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":251.3423,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.5709,"elapsed_within_tithi_degrees":0.5709},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.3423,"elapsed_within_degrees":11.3423},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.1137},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2011,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455592.770833,"ahargana":1867127.2708,"kali_year":5112,"ayanamsa_lahiri":24.0078,"grahas":{"sun":{"sidereal_longitude":286.789256,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":251.76065600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":0.0573},"mars":{"sidereal_longitude":287.6947560000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":269.929856,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":337.597556,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":241.042956,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":172.95185600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":250.6119,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":70.6119,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":"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":2011,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455592.770833,"kali_year":5112,"ahargana":1867127.2708,"sun":{"sidereal_longitude":286.7714,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":251.3423,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.5709,"elapsed_within_tithi_degrees":0.5709},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.3423,"elapsed_within_degrees":11.3423},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.1137},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.057,"elongation":35.429},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.057,"opposition_distance":144.571}},"eclipse_window_40days":[]},"city":{"slug":"ajmer","name":"Ajmer, Rajasthan","lat":26.4499,"lon":74.6399,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ajmer","name":"Ajmer, Rajasthan","lat":26.4499,"lon":74.6399,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tier-1"},"sunriseLocal":"07:17","sunsetLocal":"18:13","solarNoonLocal":"12:45","dayLengthHours":10.926542781840446,"dayLengthDisplay":"10 Hours 55 Mins 36 Secs","nightLengthDisplay":"13 Hours 04 Mins 24 Secs","moonriseLocal":"05:11","moonsetLocal":"15:38","rahuKala":{"name":"Rāhu Kāla","start":"08:39","end":"10:01","startHours":8.652046265840536,"endHours":10.01786411357059,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:23","end":"12:45","startHours":11.383681961300645,"endHours":12.749499809030702,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:07","end":"15:29","startHours":14.115317656760759,"endHours":15.481135504490814,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:50","end":"10:12","startHours":9.835755067206584,"endHours":10.199973159934597,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:44","end":"08:02","startHours":7.741501034020498,"endHours":8.03287550820291,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:23","end":"13:07","startHours":12.385281716302687,"endHours":13.113717901758717,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:50","end":"06:33","startHours":5.82935604719842,"endHours":6.5577922326544495,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:17","startHours":6.375683186290442,"endHours":7.286228418110479,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:18","startHours":14.570590272670776,"endHours":15.299026458126805,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:01","end":"18:25","startHours":18.012771199950926,"endHours":18.412771199950924,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:13","end":"18:40","startHours":18.212771199950925,"endHours":18.668043815860944,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:58","end":"19:43","startHours":17.962771199950925,"endHours":19.712771199950925,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:23","end":"01:07","startHours":24.385281716302686,"endHours":25.11371790175872,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:17","end":"08:39","startHours":7.286228418110479,"endHours":8.652046265840536,"quality":"auspicious"},{"name":"Kāla","start":"08:39","end":"10:01","startHours":8.652046265840536,"endHours":10.01786411357059,"quality":"inauspicious"},{"name":"Śubha","start":"10:01","end":"11:23","startHours":10.01786411357059,"endHours":11.383681961300645,"quality":"auspicious"},{"name":"Roga","start":"11:23","end":"12:45","startHours":11.383681961300645,"endHours":12.749499809030702,"quality":"inauspicious"},{"name":"Udveg","start":"12:45","end":"14:07","startHours":12.749499809030702,"endHours":14.115317656760759,"quality":"inauspicious"},{"name":"Chala","start":"14:07","end":"15:29","startHours":14.115317656760759,"endHours":15.481135504490814,"quality":"neutral"},{"name":"Labha","start":"15:29","end":"16:51","startHours":15.481135504490814,"endHours":16.84695335222087,"quality":"auspicious"},{"name":"Amṛta","start":"16:51","end":"18:13","startHours":16.84695335222087,"endHours":18.212771199950925,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:13","end":"19:51","startHours":18.212771199950925,"endHours":19.84695335222087,"quality":"neutral"},{"name":"Labha","start":"19:51","end":"21:29","startHours":19.84695335222087,"endHours":21.481135504490815,"quality":"auspicious"},{"name":"Amṛta","start":"21:29","end":"23:07","startHours":21.481135504490815,"endHours":23.11531765676076,"quality":"auspicious"},{"name":"Kāla","start":"23:07","end":"00:45","startHours":23.11531765676076,"endHours":24.749499809030702,"quality":"inauspicious"},{"name":"Śubha","start":"00:45","end":"02:23","startHours":24.749499809030702,"endHours":26.383681961300645,"quality":"auspicious"},{"name":"Roga","start":"02:23","end":"04:01","startHours":26.383681961300645,"endHours":28.01786411357059,"quality":"inauspicious"},{"name":"Udveg","start":"04:01","end":"05:39","startHours":28.01786411357059,"endHours":29.652046265840536,"quality":"inauspicious"},{"name":"Chala","start":"05:39","end":"07:17","startHours":29.652046265840536,"endHours":31.28622841811048,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:17","end":"08:17","startHours":7.286228418110479,"endHours":8.286228418110479,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:17","end":"09:17","startHours":8.286228418110479,"endHours":9.286228418110479,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:17","end":"10:17","startHours":9.286228418110479,"endHours":10.286228418110479,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:17","end":"11:17","startHours":10.286228418110479,"endHours":11.286228418110479,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:17","end":"12:17","startHours":11.286228418110479,"endHours":12.286228418110479,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:17","end":"13:17","startHours":12.286228418110479,"endHours":13.286228418110479,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:17","end":"14:17","startHours":13.286228418110479,"endHours":14.286228418110479,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:17","end":"15:17","startHours":14.286228418110479,"endHours":15.286228418110479,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:17","end":"16:17","startHours":15.286228418110479,"endHours":16.28622841811048,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:17","end":"17:17","startHours":16.28622841811048,"endHours":17.28622841811048,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:17","end":"18:17","startHours":17.28622841811048,"endHours":18.28622841811048,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:17","end":"19:17","startHours":18.28622841811048,"endHours":19.28622841811048,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:17","end":"20:17","startHours":19.28622841811048,"endHours":20.28622841811048,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:17","end":"21:17","startHours":20.28622841811048,"endHours":21.28622841811048,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:17","end":"22:17","startHours":21.28622841811048,"endHours":22.28622841811048,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:17","end":"23:17","startHours":22.28622841811048,"endHours":23.28622841811048,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:17","end":"00:17","startHours":23.28622841811048,"endHours":24.28622841811048,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:17","end":"01:17","startHours":24.28622841811048,"endHours":25.28622841811048,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:17","end":"02:17","startHours":25.28622841811048,"endHours":26.28622841811048,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:17","end":"03:17","startHours":26.28622841811048,"endHours":27.28622841811048,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:17","end":"04:17","startHours":27.28622841811048,"endHours":28.28622841811048,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:17","end":"05:17","startHours":28.28622841811048,"endHours":29.28622841811048,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:17","end":"06:17","startHours":29.28622841811048,"endHours":30.28622841811048,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:17","end":"07:17","startHours":30.28622841811048,"endHours":31.28622841811048,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.52337480447147,"eotMinutes":-13.52958854184206,"ayanamsa":24.0078}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"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 Trayodaśī · Vikram 2068 Krodhi · Śaka 1933 Khara"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ajmer"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 31, 2011 CE · Ajmer, Rajasthan · Vidhyamitra","description":"January 31, 2011 CE for Ajmer, Rajasthan: Kṛṣṇa Trayodaśī, sūryodaya 07:17, sūryāsta 18:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ajmer/2011-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ajmer/2011-01-31","sa":"https://sa.vidhyamitra.com/city/ajmer/2011-01-31","hi":"https://hi.vidhyamitra.com/city/ajmer/2011-01-31","x-default":"https://vidhyamitra.com/city/ajmer/2011-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-23T04:04:35.449Z","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":"2026-09-23T04:04:35.449Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-23T04:04:35.449Z","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"}}}